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Finding the Fourth Proportional to 315,576, 473,373.52 and 123,442.72

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Solution

The fourth proportional to 315,576, 473,373.52 and 123,442.72 is: 185,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,576 : 473,373.52 = 123,442.72 : x
  2. Step 2: Convert to fraction form
    315,576/473,373.52 = 123,442.72/x
  3. Step 3: Cross multiply
    315,576x = 473,373.52 × 123,442.72
  4. Step 4: Simplify right side
    315,576x = 58,434,513,392.73
  5. Step 5: Solve for x
    x = 58,434,513,392.73/315,576
  6. Step 6: Final answer
    x = 185,167.80

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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.