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Finding the Fourth Proportional to 458,514.64, 687,790.56 and 116,967.04

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Solution

The fourth proportional to 458,514.64, 687,790.56 and 116,967.04 is: 175,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514.64 : 687,790.56 = 116,967.04 : x
  2. Step 2: Convert to fraction form
    458,514.64/687,790.56 = 116,967.04/x
  3. Step 3: Cross multiply
    458,514.64x = 687,790.56 × 116,967.04
  4. Step 4: Simplify right side
    458,514.64x = 80,448,825,943.14
  5. Step 5: Solve for x
    x = 80,448,825,943.14/458,514.64
  6. Step 6: Final answer
    x = 175,455.30

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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.