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Finding the Fourth Proportional to 313,570.38, 432,729.40 and 170,330.48

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Solution

The fourth proportional to 313,570.38, 432,729.40 and 170,330.48 is: 235,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,570.38 : 432,729.40 = 170,330.48 : x
  2. Step 2: Convert to fraction form
    313,570.38/432,729.40 = 170,330.48/x
  3. Step 3: Cross multiply
    313,570.38x = 432,729.40 × 170,330.48
  4. Step 4: Simplify right side
    313,570.38x = 73,707,006,412.11
  5. Step 5: Solve for x
    x = 73,707,006,412.11/313,570.38
  6. Step 6: Final answer
    x = 235,057.30

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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.