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Finding the Fourth Proportional to 492,253.20, 738,543.60 and 176,734.80

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Solution

The fourth proportional to 492,253.20, 738,543.60 and 176,734.80 is: 265,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,253.20 : 738,543.60 = 176,734.80 : x
  2. Step 2: Convert to fraction form
    492,253.20/738,543.60 = 176,734.80/x
  3. Step 3: Cross multiply
    492,253.20x = 738,543.60 × 176,734.80
  4. Step 4: Simplify right side
    492,253.20x = 130,526,355,437.28
  5. Step 5: Solve for x
    x = 130,526,355,437.28/492,253.20
  6. Step 6: Final answer
    x = 265,161.01

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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.