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Finding the Fourth Proportional to 463,357.60, 695,016.06 and 126,397.13

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Solution

The fourth proportional to 463,357.60, 695,016.06 and 126,397.13 is: 189,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,357.60 : 695,016.06 = 126,397.13 : x
  2. Step 2: Convert to fraction form
    463,357.60/695,016.06 = 126,397.13/x
  3. Step 3: Cross multiply
    463,357.60x = 695,016.06 × 126,397.13
  4. Step 4: Simplify right side
    463,357.60x = 87,848,035,959.29
  5. Step 5: Solve for x
    x = 87,848,035,959.29/463,357.60
  6. Step 6: Final answer
    x = 189,590.15

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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.