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Finding the Fourth Proportional to 649,627.47, 974,430.48 and 194,219.78

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Solution

The fourth proportional to 649,627.47, 974,430.48 and 194,219.78 is: 291,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,627.47 : 974,430.48 = 194,219.78 : x
  2. Step 2: Convert to fraction form
    649,627.47/974,430.48 = 194,219.78/x
  3. Step 3: Cross multiply
    649,627.47x = 974,430.48 × 194,219.78
  4. Step 4: Simplify right side
    649,627.47x = 189,253,668,578.74
  5. Step 5: Solve for x
    x = 189,253,668,578.74/649,627.47
  6. Step 6: Final answer
    x = 291,326.46

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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.