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Finding the Fourth Proportional to 529,523.73, 730,849.10 and 314,622.50

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Solution

The fourth proportional to 529,523.73, 730,849.10 and 314,622.50 is: 434,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,523.73 : 730,849.10 = 314,622.50 : x
  2. Step 2: Convert to fraction form
    529,523.73/730,849.10 = 314,622.50/x
  3. Step 3: Cross multiply
    529,523.73x = 730,849.10 × 314,622.50
  4. Step 4: Simplify right side
    529,523.73x = 229,941,565,737.39
  5. Step 5: Solve for x
    x = 229,941,565,737.39/529,523.73
  6. Step 6: Final answer
    x = 434,242.23

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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.