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Finding the Fourth Proportional to 309,124.52, 463,373.06 and 175,729.14

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Solution

The fourth proportional to 309,124.52, 463,373.06 and 175,729.14 is: 263,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,124.52 : 463,373.06 = 175,729.14 : x
  2. Step 2: Convert to fraction form
    309,124.52/463,373.06 = 175,729.14/x
  3. Step 3: Cross multiply
    309,124.52x = 463,373.06 × 175,729.14
  4. Step 4: Simplify right side
    309,124.52x = 81,428,149,332.97
  5. Step 5: Solve for x
    x = 81,428,149,332.97/309,124.52
  6. Step 6: Final answer
    x = 263,415.37

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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.