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Finding the Fourth Proportional to 309,124.52, 463,373.07 and 175,729.13

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Solution

The fourth proportional to 309,124.52, 463,373.07 and 175,729.13 is: 263,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,124.52 : 463,373.07 = 175,729.13 : x
  2. Step 2: Convert to fraction form
    309,124.52/463,373.07 = 175,729.13/x
  3. Step 3: Cross multiply
    309,124.52x = 463,373.07 × 175,729.13
  4. Step 4: Simplify right side
    309,124.52x = 81,428,146,456.53
  5. Step 5: Solve for x
    x = 81,428,146,456.53/309,124.52
  6. Step 6: Final answer
    x = 263,415.36

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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.