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Finding the Fourth Proportional to 458,919.72, 688,275.63 and 174,508.88

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Solution

The fourth proportional to 458,919.72, 688,275.63 and 174,508.88 is: 261,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,919.72 : 688,275.63 = 174,508.88 : x
  2. Step 2: Convert to fraction form
    458,919.72/688,275.63 = 174,508.88/x
  3. Step 3: Cross multiply
    458,919.72x = 688,275.63 × 174,508.88
  4. Step 4: Simplify right side
    458,919.72x = 120,110,209,322.59
  5. Step 5: Solve for x
    x = 120,110,209,322.59/458,919.72
  6. Step 6: Final answer
    x = 261,723.79

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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.