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Finding the Fourth Proportional to 376,578.94, 564,868.05 and 96,096.16

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Solution

The fourth proportional to 376,578.94, 564,868.05 and 96,096.16 is: 144,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,578.94 : 564,868.05 = 96,096.16 : x
  2. Step 2: Convert to fraction form
    376,578.94/564,868.05 = 96,096.16/x
  3. Step 3: Cross multiply
    376,578.94x = 564,868.05 × 96,096.16
  4. Step 4: Simplify right side
    376,578.94x = 54,281,650,511.69
  5. Step 5: Solve for x
    x = 54,281,650,511.69/376,578.94
  6. Step 6: Final answer
    x = 144,144.15

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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.