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Finding the Fourth Proportional to 376,478.28, 564,551.64 and 176,855.40

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Solution

The fourth proportional to 376,478.28, 564,551.64 and 176,855.40 is: 265,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,478.28 : 564,551.64 = 176,855.40 : x
  2. Step 2: Convert to fraction form
    376,478.28/564,551.64 = 176,855.40/x
  3. Step 3: Cross multiply
    376,478.28x = 564,551.64 × 176,855.40
  4. Step 4: Simplify right side
    376,478.28x = 99,844,006,112.86
  5. Step 5: Solve for x
    x = 99,844,006,112.86/376,478.28
  6. Step 6: Final answer
    x = 265,205.22

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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.