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Finding the Fourth Proportional to 334,001.40, 501,002.10 and 97,351.80

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Solution

The fourth proportional to 334,001.40, 501,002.10 and 97,351.80 is: 146,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,001.40 : 501,002.10 = 97,351.80 : x
  2. Step 2: Convert to fraction form
    334,001.40/501,002.10 = 97,351.80/x
  3. Step 3: Cross multiply
    334,001.40x = 501,002.10 × 97,351.80
  4. Step 4: Simplify right side
    334,001.40x = 48,773,456,238.78
  5. Step 5: Solve for x
    x = 48,773,456,238.78/334,001.40
  6. Step 6: Final answer
    x = 146,027.70

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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.