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Finding the Fourth Proportional to 402,228.20, 603,342.30 and 152,877.80

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Solution

The fourth proportional to 402,228.20, 603,342.30 and 152,877.80 is: 229,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,228.20 : 603,342.30 = 152,877.80 : x
  2. Step 2: Convert to fraction form
    402,228.20/603,342.30 = 152,877.80/x
  3. Step 3: Cross multiply
    402,228.20x = 603,342.30 × 152,877.80
  4. Step 4: Simplify right side
    402,228.20x = 92,237,643,470.94
  5. Step 5: Solve for x
    x = 92,237,643,470.94/402,228.20
  6. Step 6: Final answer
    x = 229,316.70

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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.