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Finding the Fourth Proportional to 437,965.80, 656,948.70 and 142,477.80

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Solution

The fourth proportional to 437,965.80, 656,948.70 and 142,477.80 is: 213,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,965.80 : 656,948.70 = 142,477.80 : x
  2. Step 2: Convert to fraction form
    437,965.80/656,948.70 = 142,477.80/x
  3. Step 3: Cross multiply
    437,965.80x = 656,948.70 × 142,477.80
  4. Step 4: Simplify right side
    437,965.80x = 93,600,605,488.86
  5. Step 5: Solve for x
    x = 93,600,605,488.86/437,965.80
  6. Step 6: Final answer
    x = 213,716.70

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1.5x scale

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.