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Finding the Fourth Proportional to 410,272.67, 615,683.90 and 144,033.98

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Solution

The fourth proportional to 410,272.67, 615,683.90 and 144,033.98 is: 216,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,272.67 : 615,683.90 = 144,033.98 : x
  2. Step 2: Convert to fraction form
    410,272.67/615,683.90 = 144,033.98/x
  3. Step 3: Cross multiply
    410,272.67x = 615,683.90 × 144,033.98
  4. Step 4: Simplify right side
    410,272.67x = 88,679,402,538.92
  5. Step 5: Solve for x
    x = 88,679,402,538.92/410,272.67
  6. Step 6: Final answer
    x = 216,147.48

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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.