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Finding the Fourth Proportional to 448,362.42, 672,561.45 and 178,541.70

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Solution

The fourth proportional to 448,362.42, 672,561.45 and 178,541.70 is: 267,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,362.42 : 672,561.45 = 178,541.70 : x
  2. Step 2: Convert to fraction form
    448,362.42/672,561.45 = 178,541.70/x
  3. Step 3: Cross multiply
    448,362.42x = 672,561.45 × 178,541.70
  4. Step 4: Simplify right side
    448,362.42x = 120,080,264,637.47
  5. Step 5: Solve for x
    x = 120,080,264,637.47/448,362.42
  6. Step 6: Final answer
    x = 267,819.65

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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.