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Finding the Fourth Proportional to 469,882.80, 704,953.80 and 233,233.20

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Solution

The fourth proportional to 469,882.80, 704,953.80 and 233,233.20 is: 349,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,882.80 : 704,953.80 = 233,233.20 : x
  2. Step 2: Convert to fraction form
    469,882.80/704,953.80 = 233,233.20/x
  3. Step 3: Cross multiply
    469,882.80x = 704,953.80 × 233,233.20
  4. Step 4: Simplify right side
    469,882.80x = 164,418,630,626.16
  5. Step 5: Solve for x
    x = 164,418,630,626.16/469,882.80
  6. Step 6: Final answer
    x = 349,914.13

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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.