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Finding the Fourth Proportional to 586,722.60, 880,112.70 and 306,786.60

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Solution

The fourth proportional to 586,722.60, 880,112.70 and 306,786.60 is: 460,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,722.60 : 880,112.70 = 306,786.60 : x
  2. Step 2: Convert to fraction form
    586,722.60/880,112.70 = 306,786.60/x
  3. Step 3: Cross multiply
    586,722.60x = 880,112.70 × 306,786.60
  4. Step 4: Simplify right side
    586,722.60x = 270,006,782,849.82
  5. Step 5: Solve for x
    x = 270,006,782,849.82/586,722.60
  6. Step 6: Final answer
    x = 460,194.96

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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.