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Finding the Fourth Proportional to 566,902.24, 782,315.70 and 312,277.12

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Solution

The fourth proportional to 566,902.24, 782,315.70 and 312,277.12 is: 430,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,902.24 : 782,315.70 = 312,277.12 : x
  2. Step 2: Convert to fraction form
    566,902.24/782,315.70 = 312,277.12/x
  3. Step 3: Cross multiply
    566,902.24x = 782,315.70 × 312,277.12
  4. Step 4: Simplify right side
    566,902.24x = 244,299,293,726.78
  5. Step 5: Solve for x
    x = 244,299,293,726.78/566,902.24
  6. Step 6: Final answer
    x = 430,937.25

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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.