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Finding the Fourth Proportional to 457,856.10, 686,784.15 and 407,117.70

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Solution

The fourth proportional to 457,856.10, 686,784.15 and 407,117.70 is: 610,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,856.10 : 686,784.15 = 407,117.70 : x
  2. Step 2: Convert to fraction form
    457,856.10/686,784.15 = 407,117.70/x
  3. Step 3: Cross multiply
    457,856.10x = 686,784.15 × 407,117.70
  4. Step 4: Simplify right side
    457,856.10x = 279,601,983,544.46
  5. Step 5: Solve for x
    x = 279,601,983,544.46/457,856.10
  6. Step 6: Final answer
    x = 610,676.55

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Similar ratio
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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.