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Finding the Fourth Proportional to 457,360.68, 686,113.74 and 141,752.28

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Solution

The fourth proportional to 457,360.68, 686,113.74 and 141,752.28 is: 212,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,360.68 : 686,113.74 = 141,752.28 : x
  2. Step 2: Convert to fraction form
    457,360.68/686,113.74 = 141,752.28/x
  3. Step 3: Cross multiply
    457,360.68x = 686,113.74 × 141,752.28
  4. Step 4: Simplify right side
    457,360.68x = 97,258,186,984.33
  5. Step 5: Solve for x
    x = 97,258,186,984.33/457,360.68
  6. Step 6: Final answer
    x = 212,650.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.