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Finding the Fourth Proportional to 284,658.46, 426,658.95 and 107,052.10

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Solution

The fourth proportional to 284,658.46, 426,658.95 and 107,052.10 is: 160,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,658.46 : 426,658.95 = 107,052.10 : x
  2. Step 2: Convert to fraction form
    284,658.46/426,658.95 = 107,052.10/x
  3. Step 3: Cross multiply
    284,658.46x = 426,658.95 × 107,052.10
  4. Step 4: Simplify right side
    284,658.46x = 45,674,736,581.30
  5. Step 5: Solve for x
    x = 45,674,736,581.30/284,658.46
  6. Step 6: Final answer
    x = 160,454.52

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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.