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Finding the Fourth Proportional to 296,513.60, 444,770.40 and 83,281.10

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Solution

The fourth proportional to 296,513.60, 444,770.40 and 83,281.10 is: 124,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.60 : 444,770.40 = 83,281.10 : x
  2. Step 2: Convert to fraction form
    296,513.60/444,770.40 = 83,281.10/x
  3. Step 3: Cross multiply
    296,513.60x = 444,770.40 × 83,281.10
  4. Step 4: Simplify right side
    296,513.60x = 37,040,968,159.44
  5. Step 5: Solve for x
    x = 37,040,968,159.44/296,513.60
  6. Step 6: Final answer
    x = 124,921.65

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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.