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Finding the Fourth Proportional to 472,731.24, 709,304.76 and 248,038.68

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Solution

The fourth proportional to 472,731.24, 709,304.76 and 248,038.68 is: 372,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,731.24 : 709,304.76 = 248,038.68 : x
  2. Step 2: Convert to fraction form
    472,731.24/709,304.76 = 248,038.68/x
  3. Step 3: Cross multiply
    472,731.24x = 709,304.76 × 248,038.68
  4. Step 4: Simplify right side
    472,731.24x = 175,935,016,388.12
  5. Step 5: Solve for x
    x = 175,935,016,388.12/472,731.24
  6. Step 6: Final answer
    x = 372,167.10

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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.