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Finding the Fourth Proportional to 314,859.35, 472,291.16 and 115,097.56

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Solution

The fourth proportional to 314,859.35, 472,291.16 and 115,097.56 is: 172,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,859.35 : 472,291.16 = 115,097.56 : x
  2. Step 2: Convert to fraction form
    314,859.35/472,291.16 = 115,097.56/x
  3. Step 3: Cross multiply
    314,859.35x = 472,291.16 × 115,097.56
  4. Step 4: Simplify right side
    314,859.35x = 54,359,558,369.35
  5. Step 5: Solve for x
    x = 54,359,558,369.35/314,859.35
  6. Step 6: Final answer
    x = 172,647.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.