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Finding the Fourth Proportional to 502,681.90, 754,132.20 and 165,665.20

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Solution

The fourth proportional to 502,681.90, 754,132.20 and 165,665.20 is: 248,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,681.90 : 754,132.20 = 165,665.20 : x
  2. Step 2: Convert to fraction form
    502,681.90/754,132.20 = 165,665.20/x
  3. Step 3: Cross multiply
    502,681.90x = 754,132.20 × 165,665.20
  4. Step 4: Simplify right side
    502,681.90x = 124,933,461,739.44
  5. Step 5: Solve for x
    x = 124,933,461,739.44/502,681.90
  6. Step 6: Final answer
    x = 248,533.84

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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.