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Finding the Fourth Proportional to 313,954.66, 433,248.34 and 178,001.22

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Solution

The fourth proportional to 313,954.66, 433,248.34 and 178,001.22 is: 245,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,954.66 : 433,248.34 = 178,001.22 : x
  2. Step 2: Convert to fraction form
    313,954.66/433,248.34 = 178,001.22/x
  3. Step 3: Cross multiply
    313,954.66x = 433,248.34 × 178,001.22
  4. Step 4: Simplify right side
    313,954.66x = 77,118,733,082.97
  5. Step 5: Solve for x
    x = 77,118,733,082.97/313,954.66
  6. Step 6: Final answer
    x = 245,636.53

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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.