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Finding the Fourth Proportional to 286,044.60, 429,758.10 and 255,631.80

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Solution

The fourth proportional to 286,044.60, 429,758.10 and 255,631.80 is: 384,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,044.60 : 429,758.10 = 255,631.80 : x
  2. Step 2: Convert to fraction form
    286,044.60/429,758.10 = 255,631.80/x
  3. Step 3: Cross multiply
    286,044.60x = 429,758.10 × 255,631.80
  4. Step 4: Simplify right side
    286,044.60x = 109,859,836,667.58
  5. Step 5: Solve for x
    x = 109,859,836,667.58/286,044.60
  6. Step 6: Final answer
    x = 384,065.41

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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.