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Finding the Fourth Proportional to 565,162.74, 847,744.53 and 144,439.02

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Solution

The fourth proportional to 565,162.74, 847,744.53 and 144,439.02 is: 216,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,162.74 : 847,744.53 = 144,439.02 : x
  2. Step 2: Convert to fraction form
    565,162.74/847,744.53 = 144,439.02/x
  3. Step 3: Cross multiply
    565,162.74x = 847,744.53 × 144,439.02
  4. Step 4: Simplify right side
    565,162.74x = 122,447,389,123.56
  5. Step 5: Solve for x
    x = 122,447,389,123.56/565,162.74
  6. Step 6: Final answer
    x = 216,658.64

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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.