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Finding the Fourth Proportional to 434,853.76, 599,891.52 and 289,726.96

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Solution

The fourth proportional to 434,853.76, 599,891.52 and 289,726.96 is: 399,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,853.76 : 599,891.52 = 289,726.96 : x
  2. Step 2: Convert to fraction form
    434,853.76/599,891.52 = 289,726.96/x
  3. Step 3: Cross multiply
    434,853.76x = 599,891.52 × 289,726.96
  4. Step 4: Simplify right side
    434,853.76x = 173,804,746,419.38
  5. Step 5: Solve for x
    x = 173,804,746,419.38/434,853.76
  6. Step 6: Final answer
    x = 399,685.51

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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.