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Finding the Fourth Proportional to 286,568.40, 429,856.20 and 86,890.80

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Solution

The fourth proportional to 286,568.40, 429,856.20 and 86,890.80 is: 130,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,568.40 : 429,856.20 = 86,890.80 : x
  2. Step 2: Convert to fraction form
    286,568.40/429,856.20 = 86,890.80/x
  3. Step 3: Cross multiply
    286,568.40x = 429,856.20 × 86,890.80
  4. Step 4: Simplify right side
    286,568.40x = 37,350,549,102.96
  5. Step 5: Solve for x
    x = 37,350,549,102.96/286,568.40
  6. Step 6: Final answer
    x = 130,337.29

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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.