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Finding the Fourth Proportional to 506,311.40, 759,467.10 and 498,438.20

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Solution

The fourth proportional to 506,311.40, 759,467.10 and 498,438.20 is: 747,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,311.40 : 759,467.10 = 498,438.20 : x
  2. Step 2: Convert to fraction form
    506,311.40/759,467.10 = 498,438.20/x
  3. Step 3: Cross multiply
    506,311.40x = 759,467.10 × 498,438.20
  4. Step 4: Simplify right side
    506,311.40x = 378,547,414,283.22
  5. Step 5: Solve for x
    x = 378,547,414,283.22/506,311.40
  6. Step 6: Final answer
    x = 747,657.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.