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Finding the Fourth Proportional to 771,647.30, 1,157,082.15 and 456,200.90

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Solution

The fourth proportional to 771,647.30, 1,157,082.15 and 456,200.90 is: 684,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,647.30 : 1,157,082.15 = 456,200.90 : x
  2. Step 2: Convert to fraction form
    771,647.30/1,157,082.15 = 456,200.90/x
  3. Step 3: Cross multiply
    771,647.30x = 1,157,082.15 × 456,200.90
  4. Step 4: Simplify right side
    771,647.30x = 527,861,918,203.94
  5. Step 5: Solve for x
    x = 527,861,918,203.94/771,647.30
  6. Step 6: Final answer
    x = 684,071.49

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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.