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Finding the Fourth Proportional to 362,582.76, 543,817.98 and 185,220.84

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Solution

The fourth proportional to 362,582.76, 543,817.98 and 185,220.84 is: 277,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,582.76 : 543,817.98 = 185,220.84 : x
  2. Step 2: Convert to fraction form
    362,582.76/543,817.98 = 185,220.84/x
  3. Step 3: Cross multiply
    362,582.76x = 543,817.98 × 185,220.84
  4. Step 4: Simplify right side
    362,582.76x = 100,726,423,062.70
  5. Step 5: Solve for x
    x = 100,726,423,062.70/362,582.76
  6. Step 6: Final answer
    x = 277,802.57

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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.