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Finding the Fourth Proportional to 284,325.77, 426,459.35 and 94,765.65

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Solution

The fourth proportional to 284,325.77, 426,459.35 and 94,765.65 is: 142,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,325.77 : 426,459.35 = 94,765.65 : x
  2. Step 2: Convert to fraction form
    284,325.77/426,459.35 = 94,765.65/x
  3. Step 3: Cross multiply
    284,325.77x = 426,459.35 × 94,765.65
  4. Step 4: Simplify right side
    284,325.77x = 40,413,697,027.50
  5. Step 5: Solve for x
    x = 40,413,697,027.50/284,325.77
  6. Step 6: Final answer
    x = 142,138.71

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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.