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Finding the Fourth Proportional to 314,275.16, 433,691.39 and 171,032.12

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Solution

The fourth proportional to 314,275.16, 433,691.39 and 171,032.12 is: 236,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,275.16 : 433,691.39 = 171,032.12 : x
  2. Step 2: Convert to fraction form
    314,275.16/433,691.39 = 171,032.12/x
  3. Step 3: Cross multiply
    314,275.16x = 433,691.39 × 171,032.12
  4. Step 4: Simplify right side
    314,275.16x = 74,175,159,369.26
  5. Step 5: Solve for x
    x = 74,175,159,369.26/314,275.16
  6. Step 6: Final answer
    x = 236,019.80

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1.5x scale

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.