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Finding the Fourth Proportional to 280,010.40, 420,015.60 and 159,944.10

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Solution

The fourth proportional to 280,010.40, 420,015.60 and 159,944.10 is: 239,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,010.40 : 420,015.60 = 159,944.10 : x
  2. Step 2: Convert to fraction form
    280,010.40/420,015.60 = 159,944.10/x
  3. Step 3: Cross multiply
    280,010.40x = 420,015.60 × 159,944.10
  4. Step 4: Simplify right side
    280,010.40x = 67,179,017,127.96
  5. Step 5: Solve for x
    x = 67,179,017,127.96/280,010.40
  6. Step 6: Final answer
    x = 239,916.15

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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.