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Finding the Fourth Proportional to 313,473, 469,748.58 and 185,257.32

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Solution

The fourth proportional to 313,473, 469,748.58 and 185,257.32 is: 277,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,473 : 469,748.58 = 185,257.32 : x
  2. Step 2: Convert to fraction form
    313,473/469,748.58 = 185,257.32/x
  3. Step 3: Cross multiply
    313,473x = 469,748.58 × 185,257.32
  4. Step 4: Simplify right side
    313,473x = 87,024,363,004.61
  5. Step 5: Solve for x
    x = 87,024,363,004.61/313,473
  6. Step 6: Final answer
    x = 277,613.58

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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.