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Finding the Fourth Proportional to 458,040.09, 687,064.56 and 173,654.16

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Solution

The fourth proportional to 458,040.09, 687,064.56 and 173,654.16 is: 260,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,040.09 : 687,064.56 = 173,654.16 : x
  2. Step 2: Convert to fraction form
    458,040.09/687,064.56 = 173,654.16/x
  3. Step 3: Cross multiply
    458,040.09x = 687,064.56 × 173,654.16
  4. Step 4: Simplify right side
    458,040.09x = 119,311,619,032.57
  5. Step 5: Solve for x
    x = 119,311,619,032.57/458,040.09
  6. Step 6: Final answer
    x = 260,482.92

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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.