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Finding the Fourth Proportional to 521,502.48, 782,102.94 and 237,034.50

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Solution

The fourth proportional to 521,502.48, 782,102.94 and 237,034.50 is: 355,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,502.48 : 782,102.94 = 237,034.50 : x
  2. Step 2: Convert to fraction form
    521,502.48/782,102.94 = 237,034.50/x
  3. Step 3: Cross multiply
    521,502.48x = 782,102.94 × 237,034.50
  4. Step 4: Simplify right side
    521,502.48x = 185,385,379,331.43
  5. Step 5: Solve for x
    x = 185,385,379,331.43/521,502.48
  6. Step 6: Final answer
    x = 355,483.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.