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Finding the Fourth Proportional to 477,726.92, 716,713.50 and 342,947.24

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Solution

The fourth proportional to 477,726.92, 716,713.50 and 342,947.24 is: 514,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,726.92 : 716,713.50 = 342,947.24 : x
  2. Step 2: Convert to fraction form
    477,726.92/716,713.50 = 342,947.24/x
  3. Step 3: Cross multiply
    477,726.92x = 716,713.50 × 342,947.24
  4. Step 4: Simplify right side
    477,726.92x = 245,794,916,695.74
  5. Step 5: Solve for x
    x = 245,794,916,695.74/477,726.92
  6. Step 6: Final answer
    x = 514,509.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.