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Finding the Fourth Proportional to 521,598.28, 719,755.86 and 414,427.72

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Solution

The fourth proportional to 521,598.28, 719,755.86 and 414,427.72 is: 571,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,598.28 : 719,755.86 = 414,427.72 : x
  2. Step 2: Convert to fraction form
    521,598.28/719,755.86 = 414,427.72/x
  3. Step 3: Cross multiply
    521,598.28x = 719,755.86 × 414,427.72
  4. Step 4: Simplify right side
    521,598.28x = 298,286,780,016.44
  5. Step 5: Solve for x
    x = 298,286,780,016.44/521,598.28
  6. Step 6: Final answer
    x = 571,870.71

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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.