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Finding the Fourth Proportional to 284,298.29, 426,304.81 and 94,692.00

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Solution

The fourth proportional to 284,298.29, 426,304.81 and 94,692.00 is: 141,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,298.29 : 426,304.81 = 94,692.00 : x
  2. Step 2: Convert to fraction form
    284,298.29/426,304.81 = 94,692.00/x
  3. Step 3: Cross multiply
    284,298.29x = 426,304.81 × 94,692.00
  4. Step 4: Simplify right side
    284,298.29x = 40,367,656,785.53
  5. Step 5: Solve for x
    x = 40,367,656,785.53/284,298.29
  6. Step 6: Final answer
    x = 141,990.50

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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.