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Finding the Fourth Proportional to 437,684.80, 656,527.20 and 142,196.80

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Solution

The fourth proportional to 437,684.80, 656,527.20 and 142,196.80 is: 213,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,684.80 : 656,527.20 = 142,196.80 : x
  2. Step 2: Convert to fraction form
    437,684.80/656,527.20 = 142,196.80/x
  3. Step 3: Cross multiply
    437,684.80x = 656,527.20 × 142,196.80
  4. Step 4: Simplify right side
    437,684.80x = 93,356,066,952.96
  5. Step 5: Solve for x
    x = 93,356,066,952.96/437,684.80
  6. Step 6: Final answer
    x = 213,295.20

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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.