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Finding the Fourth Proportional to 232,704.10, 349,056.15 and 207,334.90

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Solution

The fourth proportional to 232,704.10, 349,056.15 and 207,334.90 is: 311,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704.10 : 349,056.15 = 207,334.90 : x
  2. Step 2: Convert to fraction form
    232,704.10/349,056.15 = 207,334.90/x
  3. Step 3: Cross multiply
    232,704.10x = 349,056.15 × 207,334.90
  4. Step 4: Simplify right side
    232,704.10x = 72,371,521,954.64
  5. Step 5: Solve for x
    x = 72,371,521,954.64/232,704.10
  6. Step 6: Final answer
    x = 311,002.35

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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.