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Finding the Fourth Proportional to 457,667.40, 686,501.10 and 261,059.40

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Solution

The fourth proportional to 457,667.40, 686,501.10 and 261,059.40 is: 391,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,667.40 : 686,501.10 = 261,059.40 : x
  2. Step 2: Convert to fraction form
    457,667.40/686,501.10 = 261,059.40/x
  3. Step 3: Cross multiply
    457,667.40x = 686,501.10 × 261,059.40
  4. Step 4: Simplify right side
    457,667.40x = 179,217,565,265.34
  5. Step 5: Solve for x
    x = 179,217,565,265.34/457,667.40
  6. Step 6: Final answer
    x = 391,589.10

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Similar ratio
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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.