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Finding the Fourth Proportional to 298,191.11, 447,430.16 and 148,444.47

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Solution

The fourth proportional to 298,191.11, 447,430.16 and 148,444.47 is: 222,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.11 : 447,430.16 = 148,444.47 : x
  2. Step 2: Convert to fraction form
    298,191.11/447,430.16 = 148,444.47/x
  3. Step 3: Cross multiply
    298,191.11x = 447,430.16 × 148,444.47
  4. Step 4: Simplify right side
    298,191.11x = 66,418,533,334.33
  5. Step 5: Solve for x
    x = 66,418,533,334.33/298,191.11
  6. Step 6: Final answer
    x = 222,738.14

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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.