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Finding the Fourth Proportional to 387,283.77, 581,024.19 and 227,494.83

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Solution

The fourth proportional to 387,283.77, 581,024.19 and 227,494.83 is: 341,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,283.77 : 581,024.19 = 227,494.83 : x
  2. Step 2: Convert to fraction form
    387,283.77/581,024.19 = 227,494.83/x
  3. Step 3: Cross multiply
    387,283.77x = 581,024.19 × 227,494.83
  4. Step 4: Simplify right side
    387,283.77x = 132,179,999,329.94
  5. Step 5: Solve for x
    x = 132,179,999,329.94/387,283.77
  6. Step 6: Final answer
    x = 341,300.13

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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.