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Finding the Fourth Proportional to 649,547.64, 896,491.17 and 477,715.05

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Solution

The fourth proportional to 649,547.64, 896,491.17 and 477,715.05 is: 659,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,547.64 : 896,491.17 = 477,715.05 : x
  2. Step 2: Convert to fraction form
    649,547.64/896,491.17 = 477,715.05/x
  3. Step 3: Cross multiply
    649,547.64x = 896,491.17 × 477,715.05
  4. Step 4: Simplify right side
    649,547.64x = 428,267,324,101.11
  5. Step 5: Solve for x
    x = 428,267,324,101.11/649,547.64
  6. Step 6: Final answer
    x = 659,331.66

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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.