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Finding the Fourth Proportional to 402,237.20, 603,436.80 and 117,927.20

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Solution

The fourth proportional to 402,237.20, 603,436.80 and 117,927.20 is: 176,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,237.20 : 603,436.80 = 117,927.20 : x
  2. Step 2: Convert to fraction form
    402,237.20/603,436.80 = 117,927.20/x
  3. Step 3: Cross multiply
    402,237.20x = 603,436.80 × 117,927.20
  4. Step 4: Simplify right side
    402,237.20x = 71,161,612,200.96
  5. Step 5: Solve for x
    x = 71,161,612,200.96/402,237.20
  6. Step 6: Final answer
    x = 176,914.55

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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.