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Finding the Fourth Proportional to 354,702.60, 532,053.90 and 284,718.60

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Solution

The fourth proportional to 354,702.60, 532,053.90 and 284,718.60 is: 427,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,702.60 : 532,053.90 = 284,718.60 : x
  2. Step 2: Convert to fraction form
    354,702.60/532,053.90 = 284,718.60/x
  3. Step 3: Cross multiply
    354,702.60x = 532,053.90 × 284,718.60
  4. Step 4: Simplify right side
    354,702.60x = 151,485,641,532.54
  5. Step 5: Solve for x
    x = 151,485,641,532.54/354,702.60
  6. Step 6: Final answer
    x = 427,077.90

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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.