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Finding the Fourth Proportional to 529,133.88, 730,217.94 and 287,416.38

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Solution

The fourth proportional to 529,133.88, 730,217.94 and 287,416.38 is: 396,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,133.88 : 730,217.94 = 287,416.38 : x
  2. Step 2: Convert to fraction form
    529,133.88/730,217.94 = 287,416.38/x
  3. Step 3: Cross multiply
    529,133.88x = 730,217.94 × 287,416.38
  4. Step 4: Simplify right side
    529,133.88x = 209,876,596,925.86
  5. Step 5: Solve for x
    x = 209,876,596,925.86/529,133.88
  6. Step 6: Final answer
    x = 396,641.77

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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.