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Finding the Fourth Proportional to 376,084.76, 562,703.16 and 232,024.64

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Solution

The fourth proportional to 376,084.76, 562,703.16 and 232,024.64 is: 347,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,084.76 : 562,703.16 = 232,024.64 : x
  2. Step 2: Convert to fraction form
    376,084.76/562,703.16 = 232,024.64/x
  3. Step 3: Cross multiply
    376,084.76x = 562,703.16 × 232,024.64
  4. Step 4: Simplify right side
    376,084.76x = 130,560,998,125.86
  5. Step 5: Solve for x
    x = 130,560,998,125.86/376,084.76
  6. Step 6: Final answer
    x = 347,158.44

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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.