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Finding the Fourth Proportional to 342,467.11, 513,704.20 and 152,937.14

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Solution

The fourth proportional to 342,467.11, 513,704.20 and 152,937.14 is: 229,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,467.11 : 513,704.20 = 152,937.14 : x
  2. Step 2: Convert to fraction form
    342,467.11/513,704.20 = 152,937.14/x
  3. Step 3: Cross multiply
    342,467.11x = 513,704.20 × 152,937.14
  4. Step 4: Simplify right side
    342,467.11x = 78,564,450,364.81
  5. Step 5: Solve for x
    x = 78,564,450,364.81/342,467.11
  6. Step 6: Final answer
    x = 229,407.28

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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.