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Finding the Fourth Proportional to 410,734.40, 616,101.60 and 233,787.20

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Solution

The fourth proportional to 410,734.40, 616,101.60 and 233,787.20 is: 350,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,734.40 : 616,101.60 = 233,787.20 : x
  2. Step 2: Convert to fraction form
    410,734.40/616,101.60 = 233,787.20/x
  3. Step 3: Cross multiply
    410,734.40x = 616,101.60 × 233,787.20
  4. Step 4: Simplify right side
    410,734.40x = 144,036,667,979.52
  5. Step 5: Solve for x
    x = 144,036,667,979.52/410,734.40
  6. Step 6: Final answer
    x = 350,680.80

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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.