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Finding the Fourth Proportional to 529,545.84, 730,778.22 and 287,829

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Solution

The fourth proportional to 529,545.84, 730,778.22 and 287,829 is: 397,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,545.84 : 730,778.22 = 287,829 : x
  2. Step 2: Convert to fraction form
    529,545.84/730,778.22 = 287,829/x
  3. Step 3: Cross multiply
    529,545.84x = 730,778.22 × 287,829
  4. Step 4: Simplify right side
    529,545.84x = 210,339,164,284.38
  5. Step 5: Solve for x
    x = 210,339,164,284.38/529,545.84
  6. Step 6: Final answer
    x = 397,206.72

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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.