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Finding the Fourth Proportional to 321,412.32, 443,519.16 and 178,160.17

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Solution

The fourth proportional to 321,412.32, 443,519.16 and 178,160.17 is: 245,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,412.32 : 443,519.16 = 178,160.17 : x
  2. Step 2: Convert to fraction form
    321,412.32/443,519.16 = 178,160.17/x
  3. Step 3: Cross multiply
    321,412.32x = 443,519.16 × 178,160.17
  4. Step 4: Simplify right side
    321,412.32x = 79,017,448,943.86
  5. Step 5: Solve for x
    x = 79,017,448,943.86/321,412.32
  6. Step 6: Final answer
    x = 245,844.50

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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.