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Finding the Fourth Proportional to 473,424.64, 710,143.44 and 136,471.12

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Solution

The fourth proportional to 473,424.64, 710,143.44 and 136,471.12 is: 204,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,424.64 : 710,143.44 = 136,471.12 : x
  2. Step 2: Convert to fraction form
    473,424.64/710,143.44 = 136,471.12/x
  3. Step 3: Cross multiply
    473,424.64x = 710,143.44 × 136,471.12
  4. Step 4: Simplify right side
    473,424.64x = 96,914,070,617.45
  5. Step 5: Solve for x
    x = 96,914,070,617.45/473,424.64
  6. Step 6: Final answer
    x = 204,708.55

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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.