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Finding the Fourth Proportional to 528,959.91, 730,150.92 and 314,098.40

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Solution

The fourth proportional to 528,959.91, 730,150.92 and 314,098.40 is: 433,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,959.91 : 730,150.92 = 314,098.40 : x
  2. Step 2: Convert to fraction form
    528,959.91/730,150.92 = 314,098.40/x
  3. Step 3: Cross multiply
    528,959.91x = 730,150.92 × 314,098.40
  4. Step 4: Simplify right side
    528,959.91x = 229,339,235,730.53
  5. Step 5: Solve for x
    x = 229,339,235,730.53/528,959.91
  6. Step 6: Final answer
    x = 433,566.38

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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.