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Finding the Fourth Proportional to 296,873.12, 409,505.28 and 175,975.76

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Solution

The fourth proportional to 296,873.12, 409,505.28 and 175,975.76 is: 242,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,873.12 : 409,505.28 = 175,975.76 : x
  2. Step 2: Convert to fraction form
    296,873.12/409,505.28 = 175,975.76/x
  3. Step 3: Cross multiply
    296,873.12x = 409,505.28 × 175,975.76
  4. Step 4: Simplify right side
    296,873.12x = 72,063,002,872.01
  5. Step 5: Solve for x
    x = 72,063,002,872.01/296,873.12
  6. Step 6: Final answer
    x = 242,740.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.