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Finding the Fourth Proportional to 522,841.60, 784,780.80 and 256,902.40

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Solution

The fourth proportional to 522,841.60, 784,780.80 and 256,902.40 is: 385,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,841.60 : 784,780.80 = 256,902.40 : x
  2. Step 2: Convert to fraction form
    522,841.60/784,780.80 = 256,902.40/x
  3. Step 3: Cross multiply
    522,841.60x = 784,780.80 × 256,902.40
  4. Step 4: Simplify right side
    522,841.60x = 201,612,070,993.92
  5. Step 5: Solve for x
    x = 201,612,070,993.92/522,841.60
  6. Step 6: Final answer
    x = 385,608.32

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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.