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Finding the Fourth Proportional to 413,287.11, 619,338.65 and 235,426.89

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Solution

The fourth proportional to 413,287.11, 619,338.65 and 235,426.89 is: 352,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,287.11 : 619,338.65 = 235,426.89 : x
  2. Step 2: Convert to fraction form
    413,287.11/619,338.65 = 235,426.89/x
  3. Step 3: Cross multiply
    413,287.11x = 619,338.65 × 235,426.89
  4. Step 4: Simplify right side
    413,287.11x = 145,808,971,049.16
  5. Step 5: Solve for x
    x = 145,808,971,049.16/413,287.11
  6. Step 6: Final answer
    x = 352,803.09

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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.