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Finding the Fourth Proportional to 564,355.68, 846,559.44 and 143,635.20

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Solution

The fourth proportional to 564,355.68, 846,559.44 and 143,635.20 is: 215,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,355.68 : 846,559.44 = 143,635.20 : x
  2. Step 2: Convert to fraction form
    564,355.68/846,559.44 = 143,635.20/x
  3. Step 3: Cross multiply
    564,355.68x = 846,559.44 × 143,635.20
  4. Step 4: Simplify right side
    564,355.68x = 121,595,734,476.29
  5. Step 5: Solve for x
    x = 121,595,734,476.29/564,355.68
  6. Step 6: Final answer
    x = 215,459.40

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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.