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Finding the Fourth Proportional to 502,072.52, 753,109.06 and 315,215.24

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Solution

The fourth proportional to 502,072.52, 753,109.06 and 315,215.24 is: 472,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,072.52 : 753,109.06 = 315,215.24 : x
  2. Step 2: Convert to fraction form
    502,072.52/753,109.06 = 315,215.24/x
  3. Step 3: Cross multiply
    502,072.52x = 753,109.06 × 315,215.24
  4. Step 4: Simplify right side
    502,072.52x = 237,391,453,094.07
  5. Step 5: Solve for x
    x = 237,391,453,094.07/502,072.52
  6. Step 6: Final answer
    x = 472,823.04

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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.