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Finding the Fourth Proportional to 463,615.36, 695,531.52 and 143,750.40

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Solution

The fourth proportional to 463,615.36, 695,531.52 and 143,750.40 is: 215,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,615.36 : 695,531.52 = 143,750.40 : x
  2. Step 2: Convert to fraction form
    463,615.36/695,531.52 = 143,750.40/x
  3. Step 3: Cross multiply
    463,615.36x = 695,531.52 × 143,750.40
  4. Step 4: Simplify right side
    463,615.36x = 99,982,934,212.61
  5. Step 5: Solve for x
    x = 99,982,934,212.61/463,615.36
  6. Step 6: Final answer
    x = 215,659.24

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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.