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Finding the Fourth Proportional to 529,508.86, 730,828.50 and 314,607.56

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Solution

The fourth proportional to 529,508.86, 730,828.50 and 314,607.56 is: 434,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,508.86 : 730,828.50 = 314,607.56 : x
  2. Step 2: Convert to fraction form
    529,508.86/730,828.50 = 314,607.56/x
  3. Step 3: Cross multiply
    529,508.86x = 730,828.50 × 314,607.56
  4. Step 4: Simplify right side
    529,508.86x = 229,924,171,163.46
  5. Step 5: Solve for x
    x = 229,924,171,163.46/529,508.86
  6. Step 6: Final answer
    x = 434,221.57

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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.