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Finding the Fourth Proportional to 314,301.68, 433,746.96 and 171,066.92

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Solution

The fourth proportional to 314,301.68, 433,746.96 and 171,066.92 is: 236,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,301.68 : 433,746.96 = 171,066.92 : x
  2. Step 2: Convert to fraction form
    314,301.68/433,746.96 = 171,066.92/x
  3. Step 3: Cross multiply
    314,301.68x = 433,746.96 × 171,066.92
  4. Step 4: Simplify right side
    314,301.68x = 74,199,756,506.56
  5. Step 5: Solve for x
    x = 74,199,756,506.56/314,301.68
  6. Step 6: Final answer
    x = 236,078.14

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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.