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Finding the Fourth Proportional to 473,514.64, 710,195.41 and 173,921.15

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Solution

The fourth proportional to 473,514.64, 710,195.41 and 173,921.15 is: 260,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,514.64 : 710,195.41 = 173,921.15 : x
  2. Step 2: Convert to fraction form
    473,514.64/710,195.41 = 173,921.15/x
  3. Step 3: Cross multiply
    473,514.64x = 710,195.41 × 173,921.15
  4. Step 4: Simplify right side
    473,514.64x = 123,518,002,431.92
  5. Step 5: Solve for x
    x = 123,518,002,431.92/473,514.64
  6. Step 6: Final answer
    x = 260,853.61

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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.