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Finding the Fourth Proportional to 457,904.40, 686,856.60 and 142,393.20

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Solution

The fourth proportional to 457,904.40, 686,856.60 and 142,393.20 is: 213,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,904.40 : 686,856.60 = 142,393.20 : x
  2. Step 2: Convert to fraction form
    457,904.40/686,856.60 = 142,393.20/x
  3. Step 3: Cross multiply
    457,904.40x = 686,856.60 × 142,393.20
  4. Step 4: Simplify right side
    457,904.40x = 97,803,709,215.12
  5. Step 5: Solve for x
    x = 97,803,709,215.12/457,904.40
  6. Step 6: Final answer
    x = 213,589.80

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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.