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Finding the Fourth Proportional to 566,143.38, 781,149.42 and 413,264.88

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Solution

The fourth proportional to 566,143.38, 781,149.42 and 413,264.88 is: 570,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,143.38 : 781,149.42 = 413,264.88 : x
  2. Step 2: Convert to fraction form
    566,143.38/781,149.42 = 413,264.88/x
  3. Step 3: Cross multiply
    566,143.38x = 781,149.42 × 413,264.88
  4. Step 4: Simplify right side
    566,143.38x = 322,821,621,318.37
  5. Step 5: Solve for x
    x = 322,821,621,318.37/566,143.38
  6. Step 6: Final answer
    x = 570,211.77

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.