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Finding the Fourth Proportional to 612,967.59, 919,414.01 and 293,346.65

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Solution

The fourth proportional to 612,967.59, 919,414.01 and 293,346.65 is: 440,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,967.59 : 919,414.01 = 293,346.65 : x
  2. Step 2: Convert to fraction form
    612,967.59/919,414.01 = 293,346.65/x
  3. Step 3: Cross multiply
    612,967.59x = 919,414.01 × 293,346.65
  4. Step 4: Simplify right side
    612,967.59x = 269,707,013,732.76
  5. Step 5: Solve for x
    x = 269,707,013,732.76/612,967.59
  6. Step 6: Final answer
    x = 440,002.08

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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.