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Finding the Fourth Proportional to 470,967.62, 706,398.90 and 129,437.22

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Solution

The fourth proportional to 470,967.62, 706,398.90 and 129,437.22 is: 194,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.62 : 706,398.90 = 129,437.22 : x
  2. Step 2: Convert to fraction form
    470,967.62/706,398.90 = 129,437.22/x
  3. Step 3: Cross multiply
    470,967.62x = 706,398.90 × 129,437.22
  4. Step 4: Simplify right side
    470,967.62x = 91,434,306,394.47
  5. Step 5: Solve for x
    x = 91,434,306,394.47/470,967.62
  6. Step 6: Final answer
    x = 194,141.39

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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.