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Finding the Fourth Proportional to 502,871.22, 754,233 and 203,345.16

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Solution

The fourth proportional to 502,871.22, 754,233 and 203,345.16 is: 304,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,871.22 : 754,233 = 203,345.16 : x
  2. Step 2: Convert to fraction form
    502,871.22/754,233 = 203,345.16/x
  3. Step 3: Cross multiply
    502,871.22x = 754,233 × 203,345.16
  4. Step 4: Simplify right side
    502,871.22x = 153,369,630,062.28
  5. Step 5: Solve for x
    x = 153,369,630,062.28/502,871.22
  6. Step 6: Final answer
    x = 304,987.89

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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.