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Finding the Fourth Proportional to 705,520.60, 973,772.49 and 433,822.30

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Solution

The fourth proportional to 705,520.60, 973,772.49 and 433,822.30 is: 598,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,520.60 : 973,772.49 = 433,822.30 : x
  2. Step 2: Convert to fraction form
    705,520.60/973,772.49 = 433,822.30/x
  3. Step 3: Cross multiply
    705,520.60x = 973,772.49 × 433,822.30
  4. Step 4: Simplify right side
    705,520.60x = 422,444,221,288.53
  5. Step 5: Solve for x
    x = 422,444,221,288.53/705,520.60
  6. Step 6: Final answer
    x = 598,769.51

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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.