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Finding the Fourth Proportional to 516,295.32, 712,482.33 and 283,726.08

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Solution

The fourth proportional to 516,295.32, 712,482.33 and 283,726.08 is: 391,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,295.32 : 712,482.33 = 283,726.08 : x
  2. Step 2: Convert to fraction form
    516,295.32/712,482.33 = 283,726.08/x
  3. Step 3: Cross multiply
    516,295.32x = 712,482.33 × 283,726.08
  4. Step 4: Simplify right side
    516,295.32x = 202,149,818,560.17
  5. Step 5: Solve for x
    x = 202,149,818,560.17/516,295.32
  6. Step 6: Final answer
    x = 391,539.13

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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.