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Finding the Fourth Proportional to 650,679.84, 974,322.12 and 523,626.10

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Solution

The fourth proportional to 650,679.84, 974,322.12 and 523,626.10 is: 784,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,679.84 : 974,322.12 = 523,626.10 : x
  2. Step 2: Convert to fraction form
    650,679.84/974,322.12 = 523,626.10/x
  3. Step 3: Cross multiply
    650,679.84x = 974,322.12 × 523,626.10
  4. Step 4: Simplify right side
    650,679.84x = 510,180,491,839.33
  5. Step 5: Solve for x
    x = 510,180,491,839.33/650,679.84
  6. Step 6: Final answer
    x = 784,073.00

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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.