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Finding the Fourth Proportional to 564,742.16, 847,113.53 and 354,527.72

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Solution

The fourth proportional to 564,742.16, 847,113.53 and 354,527.72 is: 531,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,742.16 : 847,113.53 = 354,527.72 : x
  2. Step 2: Convert to fraction form
    564,742.16/847,113.53 = 354,527.72/x
  3. Step 3: Cross multiply
    564,742.16x = 847,113.53 × 354,527.72
  4. Step 4: Simplify right side
    564,742.16x = 300,325,222,363.85
  5. Step 5: Solve for x
    x = 300,325,222,363.85/564,742.16
  6. Step 6: Final answer
    x = 531,791.76

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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.