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Finding the Fourth Proportional to 286,640.40, 429,961.64 and 86,962.48

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Solution

The fourth proportional to 286,640.40, 429,961.64 and 86,962.48 is: 130,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,640.40 : 429,961.64 = 86,962.48 : x
  2. Step 2: Convert to fraction form
    286,640.40/429,961.64 = 86,962.48/x
  3. Step 3: Cross multiply
    286,640.40x = 429,961.64 × 86,962.48
  4. Step 4: Simplify right side
    286,640.40x = 37,390,530,519.27
  5. Step 5: Solve for x
    x = 37,390,530,519.27/286,640.40
  6. Step 6: Final answer
    x = 130,444.04

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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.