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Finding the Fourth Proportional to 580,082.10, 870,123.15 and 540,716.10

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Solution

The fourth proportional to 580,082.10, 870,123.15 and 540,716.10 is: 811,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,082.10 : 870,123.15 = 540,716.10 : x
  2. Step 2: Convert to fraction form
    580,082.10/870,123.15 = 540,716.10/x
  3. Step 3: Cross multiply
    580,082.10x = 870,123.15 × 540,716.10
  4. Step 4: Simplify right side
    580,082.10x = 470,489,596,187.72
  5. Step 5: Solve for x
    x = 470,489,596,187.72/580,082.10
  6. Step 6: Final answer
    x = 811,074.15

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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.