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Finding the Fourth Proportional to 313,146.19, 469,713.79 and 216,994.74

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Solution

The fourth proportional to 313,146.19, 469,713.79 and 216,994.74 is: 325,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,146.19 : 469,713.79 = 216,994.74 : x
  2. Step 2: Convert to fraction form
    313,146.19/469,713.79 = 216,994.74/x
  3. Step 3: Cross multiply
    313,146.19x = 469,713.79 × 216,994.74
  4. Step 4: Simplify right side
    313,146.19x = 101,925,421,735.47
  5. Step 5: Solve for x
    x = 101,925,421,735.47/313,146.19
  6. Step 6: Final answer
    x = 325,488.30

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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.