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Finding the Fourth Proportional to 437,877.80, 656,298.30 and 185,157.80

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Solution

The fourth proportional to 437,877.80, 656,298.30 and 185,157.80 is: 277,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,877.80 : 656,298.30 = 185,157.80 : x
  2. Step 2: Convert to fraction form
    437,877.80/656,298.30 = 185,157.80/x
  3. Step 3: Cross multiply
    437,877.80x = 656,298.30 × 185,157.80
  4. Step 4: Simplify right side
    437,877.80x = 121,518,749,371.74
  5. Step 5: Solve for x
    x = 121,518,749,371.74/437,877.80
  6. Step 6: Final answer
    x = 277,517.49

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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.