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Finding the Fourth Proportional to 265,629.60, 398,502.72 and 78,655.68

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Solution

The fourth proportional to 265,629.60, 398,502.72 and 78,655.68 is: 118,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,629.60 : 398,502.72 = 78,655.68 : x
  2. Step 2: Convert to fraction form
    265,629.60/398,502.72 = 78,655.68/x
  3. Step 3: Cross multiply
    265,629.60x = 398,502.72 × 78,655.68
  4. Step 4: Simplify right side
    265,629.60x = 31,344,502,423.45
  5. Step 5: Solve for x
    x = 31,344,502,423.45/265,629.60
  6. Step 6: Final answer
    x = 118,000.79

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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.