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Finding the Fourth Proportional to 314,275.38, 433,691.70 and 171,032.35

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Solution

The fourth proportional to 314,275.38, 433,691.70 and 171,032.35 is: 236,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,275.38 : 433,691.70 = 171,032.35 : x
  2. Step 2: Convert to fraction form
    314,275.38/433,691.70 = 171,032.35/x
  3. Step 3: Cross multiply
    314,275.38x = 433,691.70 × 171,032.35
  4. Step 4: Simplify right side
    314,275.38x = 74,175,310,626.50
  5. Step 5: Solve for x
    x = 74,175,310,626.50/314,275.38
  6. Step 6: Final answer
    x = 236,020.11

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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.