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Finding the Fourth Proportional to 284,816.40, 427,248.90 and 74,454

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Solution

The fourth proportional to 284,816.40, 427,248.90 and 74,454 is: 111,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,816.40 : 427,248.90 = 74,454 : x
  2. Step 2: Convert to fraction form
    284,816.40/427,248.90 = 74,454/x
  3. Step 3: Cross multiply
    284,816.40x = 427,248.90 × 74,454
  4. Step 4: Simplify right side
    284,816.40x = 31,810,389,600.60
  5. Step 5: Solve for x
    x = 31,810,389,600.60/284,816.40
  6. Step 6: Final answer
    x = 111,687.35

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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.