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Finding the Fourth Proportional to 586,846.76, 880,329.78 and 202,545.59

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Solution

The fourth proportional to 586,846.76, 880,329.78 and 202,545.59 is: 303,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,846.76 : 880,329.78 = 202,545.59 : x
  2. Step 2: Convert to fraction form
    586,846.76/880,329.78 = 202,545.59/x
  3. Step 3: Cross multiply
    586,846.76x = 880,329.78 × 202,545.59
  4. Step 4: Simplify right side
    586,846.76x = 178,306,910,283.02
  5. Step 5: Solve for x
    x = 178,306,910,283.02/586,846.76
  6. Step 6: Final answer
    x = 303,838.96

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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.