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Finding the Fourth Proportional to 458,462.40, 687,693.60 and 126,038.40

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Solution

The fourth proportional to 458,462.40, 687,693.60 and 126,038.40 is: 189,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,462.40 : 687,693.60 = 126,038.40 : x
  2. Step 2: Convert to fraction form
    458,462.40/687,693.60 = 126,038.40/x
  3. Step 3: Cross multiply
    458,462.40x = 687,693.60 × 126,038.40
  4. Step 4: Simplify right side
    458,462.40x = 86,675,801,034.24
  5. Step 5: Solve for x
    x = 86,675,801,034.24/458,462.40
  6. Step 6: Final answer
    x = 189,057.60

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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.