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Finding the Fourth Proportional to 649,704.90, 896,594.76 and 363,225

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Solution

The fourth proportional to 649,704.90, 896,594.76 and 363,225 is: 501,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,704.90 : 896,594.76 = 363,225 : x
  2. Step 2: Convert to fraction form
    649,704.90/896,594.76 = 363,225/x
  3. Step 3: Cross multiply
    649,704.90x = 896,594.76 × 363,225
  4. Step 4: Simplify right side
    649,704.90x = 325,665,631,701
  5. Step 5: Solve for x
    x = 325,665,631,701/649,704.90
  6. Step 6: Final answer
    x = 501,251.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.