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Finding the Fourth Proportional to 502,172.31, 692,703.85 and 339,109.59

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Solution

The fourth proportional to 502,172.31, 692,703.85 and 339,109.59 is: 467,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,172.31 : 692,703.85 = 339,109.59 : x
  2. Step 2: Convert to fraction form
    502,172.31/692,703.85 = 339,109.59/x
  3. Step 3: Cross multiply
    502,172.31x = 692,703.85 × 339,109.59
  4. Step 4: Simplify right side
    502,172.31x = 234,902,518,564.92
  5. Step 5: Solve for x
    x = 234,902,518,564.92/502,172.31
  6. Step 6: Final answer
    x = 467,772.74

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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.