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Finding the Fourth Proportional to 313,934.74, 470,818.98 and 136,400.15

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Solution

The fourth proportional to 313,934.74, 470,818.98 and 136,400.15 is: 204,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,934.74 : 470,818.98 = 136,400.15 : x
  2. Step 2: Convert to fraction form
    313,934.74/470,818.98 = 136,400.15/x
  3. Step 3: Cross multiply
    313,934.74x = 470,818.98 × 136,400.15
  4. Step 4: Simplify right side
    313,934.74x = 64,219,780,671.89
  5. Step 5: Solve for x
    x = 64,219,780,671.89/313,934.74
  6. Step 6: Final answer
    x = 204,564.11

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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.