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Finding the Fourth Proportional to 265,615.68, 398,462.40 and 97,144.32

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Solution

The fourth proportional to 265,615.68, 398,462.40 and 97,144.32 is: 145,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,615.68 : 398,462.40 = 97,144.32 : x
  2. Step 2: Convert to fraction form
    265,615.68/398,462.40 = 97,144.32/x
  3. Step 3: Cross multiply
    265,615.68x = 398,462.40 × 97,144.32
  4. Step 4: Simplify right side
    265,615.68x = 38,708,358,893.57
  5. Step 5: Solve for x
    x = 38,708,358,893.57/265,615.68
  6. Step 6: Final answer
    x = 145,730.70

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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.