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Finding the Fourth Proportional to 700,522.52, 966,744.79 and 414,287.96

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Solution

The fourth proportional to 700,522.52, 966,744.79 and 414,287.96 is: 571,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,522.52 : 966,744.79 = 414,287.96 : x
  2. Step 2: Convert to fraction form
    700,522.52/966,744.79 = 414,287.96/x
  3. Step 3: Cross multiply
    700,522.52x = 966,744.79 × 414,287.96
  4. Step 4: Simplify right side
    700,522.52x = 400,510,721,020.29
  5. Step 5: Solve for x
    x = 400,510,721,020.29/700,522.52
  6. Step 6: Final answer
    x = 571,731.40

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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.