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Finding the Fourth Proportional to 653,123, 901,734.78 and 398,621.72

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Solution

The fourth proportional to 653,123, 901,734.78 and 398,621.72 is: 550,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,123 : 901,734.78 = 398,621.72 : x
  2. Step 2: Convert to fraction form
    653,123/901,734.78 = 398,621.72/x
  3. Step 3: Cross multiply
    653,123x = 901,734.78 × 398,621.72
  4. Step 4: Simplify right side
    653,123x = 359,451,068,987.42
  5. Step 5: Solve for x
    x = 359,451,068,987.42/653,123
  6. Step 6: Final answer
    x = 550,357.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.