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Finding the Fourth Proportional to 313,214.16, 432,235.51 and 169,974.20

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Solution

The fourth proportional to 313,214.16, 432,235.51 and 169,974.20 is: 234,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,214.16 : 432,235.51 = 169,974.20 : x
  2. Step 2: Convert to fraction form
    313,214.16/432,235.51 = 169,974.20/x
  3. Step 3: Cross multiply
    313,214.16x = 432,235.51 × 169,974.20
  4. Step 4: Simplify right side
    313,214.16x = 73,468,885,023.84
  5. Step 5: Solve for x
    x = 73,468,885,023.84/313,214.16
  6. Step 6: Final answer
    x = 234,564.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.