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Finding the Fourth Proportional to 564,744.16, 847,116.53 and 354,529.72

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Solution

The fourth proportional to 564,744.16, 847,116.53 and 354,529.72 is: 531,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,744.16 : 847,116.53 = 354,529.72 : x
  2. Step 2: Convert to fraction form
    564,744.16/847,116.53 = 354,529.72/x
  3. Step 3: Cross multiply
    564,744.16x = 847,116.53 × 354,529.72
  4. Step 4: Simplify right side
    564,744.16x = 300,327,986,188.27
  5. Step 5: Solve for x
    x = 300,327,986,188.27/564,744.16
  6. Step 6: Final answer
    x = 531,794.76

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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.