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Finding the Fourth Proportional to 284,616.40, 426,809.40 and 97,531.60

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Solution

The fourth proportional to 284,616.40, 426,809.40 and 97,531.60 is: 146,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,616.40 : 426,809.40 = 97,531.60 : x
  2. Step 2: Convert to fraction form
    284,616.40/426,809.40 = 97,531.60/x
  3. Step 3: Cross multiply
    284,616.40x = 426,809.40 × 97,531.60
  4. Step 4: Simplify right side
    284,616.40x = 41,627,403,677.04
  5. Step 5: Solve for x
    x = 41,627,403,677.04/284,616.40
  6. Step 6: Final answer
    x = 146,257.92

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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.