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Finding the Fourth Proportional to 313,417.74, 432,504.73 and 170,174.71

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Solution

The fourth proportional to 313,417.74, 432,504.73 and 170,174.71 is: 234,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,417.74 : 432,504.73 = 170,174.71 : x
  2. Step 2: Convert to fraction form
    313,417.74/432,504.73 = 170,174.71/x
  3. Step 3: Cross multiply
    313,417.74x = 432,504.73 × 170,174.71
  4. Step 4: Simplify right side
    313,417.74x = 73,601,367,001.38
  5. Step 5: Solve for x
    x = 73,601,367,001.38/313,417.74
  6. Step 6: Final answer
    x = 234,834.72

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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.