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Finding the Fourth Proportional to 402,500, 555,120.40 and 249,431.84

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Solution

The fourth proportional to 402,500, 555,120.40 and 249,431.84 is: 344,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,500 : 555,120.40 = 249,431.84 : x
  2. Step 2: Convert to fraction form
    402,500/555,120.40 = 249,431.84/x
  3. Step 3: Cross multiply
    402,500x = 555,120.40 × 249,431.84
  4. Step 4: Simplify right side
    402,500x = 138,464,702,793.54
  5. Step 5: Solve for x
    x = 138,464,702,793.54/402,500
  6. Step 6: Final answer
    x = 344,011.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.