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Finding the Fourth Proportional to 291,062.80, 435,719.40 and 172,673.20

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Solution

The fourth proportional to 291,062.80, 435,719.40 and 172,673.20 is: 258,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,062.80 : 435,719.40 = 172,673.20 : x
  2. Step 2: Convert to fraction form
    291,062.80/435,719.40 = 172,673.20/x
  3. Step 3: Cross multiply
    291,062.80x = 435,719.40 × 172,673.20
  4. Step 4: Simplify right side
    291,062.80x = 75,237,063,100.08
  5. Step 5: Solve for x
    x = 75,237,063,100.08/291,062.80
  6. Step 6: Final answer
    x = 258,490.82

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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.