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Finding the Fourth Proportional to 283,648.60, 425,444.10 and 96,657.40

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Solution

The fourth proportional to 283,648.60, 425,444.10 and 96,657.40 is: 144,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,648.60 : 425,444.10 = 96,657.40 : x
  2. Step 2: Convert to fraction form
    283,648.60/425,444.10 = 96,657.40/x
  3. Step 3: Cross multiply
    283,648.60x = 425,444.10 × 96,657.40
  4. Step 4: Simplify right side
    283,648.60x = 41,122,320,551.34
  5. Step 5: Solve for x
    x = 41,122,320,551.34/283,648.60
  6. Step 6: Final answer
    x = 144,976.29

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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.