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Finding the Fourth Proportional to 286,364.54, 429,552.28 and 86,684.15

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Solution

The fourth proportional to 286,364.54, 429,552.28 and 86,684.15 is: 130,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,364.54 : 429,552.28 = 86,684.15 : x
  2. Step 2: Convert to fraction form
    286,364.54/429,552.28 = 86,684.15/x
  3. Step 3: Cross multiply
    286,364.54x = 429,552.28 × 86,684.15
  4. Step 4: Simplify right side
    286,364.54x = 37,235,375,454.60
  5. Step 5: Solve for x
    x = 37,235,375,454.60/286,364.54
  6. Step 6: Final answer
    x = 130,027.88

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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.