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Finding the Fourth Proportional to 283,219.60, 424,829.40 and 96,231.10

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Solution

The fourth proportional to 283,219.60, 424,829.40 and 96,231.10 is: 144,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.60 : 424,829.40 = 96,231.10 : x
  2. Step 2: Convert to fraction form
    283,219.60/424,829.40 = 96,231.10/x
  3. Step 3: Cross multiply
    283,219.60x = 424,829.40 × 96,231.10
  4. Step 4: Simplify right side
    283,219.60x = 40,881,800,474.34
  5. Step 5: Solve for x
    x = 40,881,800,474.34/283,219.60
  6. Step 6: Final answer
    x = 144,346.65

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1.5x scale

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.