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Finding the Fourth Proportional to 583,668, 805,474.14 and 329,019.19

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Solution

The fourth proportional to 583,668, 805,474.14 and 329,019.19 is: 454,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,668 : 805,474.14 = 329,019.19 : x
  2. Step 2: Convert to fraction form
    583,668/805,474.14 = 329,019.19/x
  3. Step 3: Cross multiply
    583,668x = 805,474.14 × 329,019.19
  4. Step 4: Simplify right side
    583,668x = 265,016,447,711.97
  5. Step 5: Solve for x
    x = 265,016,447,711.97/583,668
  6. Step 6: Final answer
    x = 454,053.41

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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.