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Finding the Fourth Proportional to 313,232.78, 432,335.40 and 185,981.78

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Solution

The fourth proportional to 313,232.78, 432,335.40 and 185,981.78 is: 256,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,232.78 : 432,335.40 = 185,981.78 : x
  2. Step 2: Convert to fraction form
    313,232.78/432,335.40 = 185,981.78/x
  3. Step 3: Cross multiply
    313,232.78x = 432,335.40 × 185,981.78
  4. Step 4: Simplify right side
    313,232.78x = 80,406,507,249.01
  5. Step 5: Solve for x
    x = 80,406,507,249.01/313,232.78
  6. Step 6: Final answer
    x = 256,698.89

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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.