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Finding the Fourth Proportional to 314,275.53, 433,691.91 and 171,032.49

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Solution

The fourth proportional to 314,275.53, 433,691.91 and 171,032.49 is: 236,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,275.53 : 433,691.91 = 171,032.49 : x
  2. Step 2: Convert to fraction form
    314,275.53/433,691.91 = 171,032.49/x
  3. Step 3: Cross multiply
    314,275.53x = 433,691.91 × 171,032.49
  4. Step 4: Simplify right side
    314,275.53x = 74,175,407,260.16
  5. Step 5: Solve for x
    x = 74,175,407,260.16/314,275.53
  6. Step 6: Final answer
    x = 236,020.31

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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.