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Finding the Fourth Proportional to 497,635.60, 746,307.60 and 177,750.40

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Solution

The fourth proportional to 497,635.60, 746,307.60 and 177,750.40 is: 266,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,635.60 : 746,307.60 = 177,750.40 : x
  2. Step 2: Convert to fraction form
    497,635.60/746,307.60 = 177,750.40/x
  3. Step 3: Cross multiply
    497,635.60x = 746,307.60 × 177,750.40
  4. Step 4: Simplify right side
    497,635.60x = 132,656,474,423.04
  5. Step 5: Solve for x
    x = 132,656,474,423.04/497,635.60
  6. Step 6: Final answer
    x = 266,573.52

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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.