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Finding the Fourth Proportional to 437,567.49, 656,351.24 and 142,079.49

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Solution

The fourth proportional to 437,567.49, 656,351.24 and 142,079.49 is: 213,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,567.49 : 656,351.24 = 142,079.49 : x
  2. Step 2: Convert to fraction form
    437,567.49/656,351.24 = 142,079.49/x
  3. Step 3: Cross multiply
    437,567.49x = 656,351.24 × 142,079.49
  4. Step 4: Simplify right side
    437,567.49x = 93,254,048,729.67
  5. Step 5: Solve for x
    x = 93,254,048,729.67/437,567.49
  6. Step 6: Final answer
    x = 213,119.24

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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.