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Finding the Fourth Proportional to 407,802.34, 611,366.70 and 179,935.72

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Solution

The fourth proportional to 407,802.34, 611,366.70 and 179,935.72 is: 269,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,802.34 : 611,366.70 = 179,935.72 : x
  2. Step 2: Convert to fraction form
    407,802.34/611,366.70 = 179,935.72/x
  3. Step 3: Cross multiply
    407,802.34x = 611,366.70 × 179,935.72
  4. Step 4: Simplify right side
    407,802.34x = 110,006,707,348.52
  5. Step 5: Solve for x
    x = 110,006,707,348.52/407,802.34
  6. Step 6: Final answer
    x = 269,754.97

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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.