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Finding the Fourth Proportional to 502,967.34, 694,036.76 and 288,094.59

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Solution

The fourth proportional to 502,967.34, 694,036.76 and 288,094.59 is: 397,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,967.34 : 694,036.76 = 288,094.59 : x
  2. Step 2: Convert to fraction form
    502,967.34/694,036.76 = 288,094.59/x
  3. Step 3: Cross multiply
    502,967.34x = 694,036.76 × 288,094.59
  4. Step 4: Simplify right side
    502,967.34x = 199,948,234,376.66
  5. Step 5: Solve for x
    x = 199,948,234,376.66/502,967.34
  6. Step 6: Final answer
    x = 397,537.21

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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.