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Finding the Fourth Proportional to 529,894.71, 730,997.73 and 314,882.64

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Solution

The fourth proportional to 529,894.71, 730,997.73 and 314,882.64 is: 434,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,894.71 : 730,997.73 = 314,882.64 : x
  2. Step 2: Convert to fraction form
    529,894.71/730,997.73 = 314,882.64/x
  3. Step 3: Cross multiply
    529,894.71x = 730,997.73 × 314,882.64
  4. Step 4: Simplify right side
    529,894.71x = 230,178,495,056.41
  5. Step 5: Solve for x
    x = 230,178,495,056.41/529,894.71
  6. Step 6: Final answer
    x = 434,385.34

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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.