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Finding the Fourth Proportional to 497,734.40, 746,601.60 and 310,851.20

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Solution

The fourth proportional to 497,734.40, 746,601.60 and 310,851.20 is: 466,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,734.40 : 746,601.60 = 310,851.20 : x
  2. Step 2: Convert to fraction form
    497,734.40/746,601.60 = 310,851.20/x
  3. Step 3: Cross multiply
    497,734.40x = 746,601.60 × 310,851.20
  4. Step 4: Simplify right side
    497,734.40x = 232,082,003,281.92
  5. Step 5: Solve for x
    x = 232,082,003,281.92/497,734.40
  6. Step 6: Final answer
    x = 466,276.80

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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.