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Finding the Fourth Proportional to 465,175.20, 696,013.20 and 307,711.20

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Solution

The fourth proportional to 465,175.20, 696,013.20 and 307,711.20 is: 460,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,175.20 : 696,013.20 = 307,711.20 : x
  2. Step 2: Convert to fraction form
    465,175.20/696,013.20 = 307,711.20/x
  3. Step 3: Cross multiply
    465,175.20x = 696,013.20 × 307,711.20
  4. Step 4: Simplify right side
    465,175.20x = 214,171,056,987.84
  5. Step 5: Solve for x
    x = 214,171,056,987.84/465,175.20
  6. Step 6: Final answer
    x = 460,409.45

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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.