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Finding the Fourth Proportional to 529,098.94, 730,161.89 and 287,386.23

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Solution

The fourth proportional to 529,098.94, 730,161.89 and 287,386.23 is: 396,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,098.94 : 730,161.89 = 287,386.23 : x
  2. Step 2: Convert to fraction form
    529,098.94/730,161.89 = 287,386.23/x
  3. Step 3: Cross multiply
    529,098.94x = 730,161.89 × 287,386.23
  4. Step 4: Simplify right side
    529,098.94x = 209,838,472,856.78
  5. Step 5: Solve for x
    x = 209,838,472,856.78/529,098.94
  6. Step 6: Final answer
    x = 396,595.90

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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.