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Finding the Fourth Proportional to 282,446.91, 389,775.53 and 153,384.48

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Solution

The fourth proportional to 282,446.91, 389,775.53 and 153,384.48 is: 211,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,446.91 : 389,775.53 = 153,384.48 : x
  2. Step 2: Convert to fraction form
    282,446.91/389,775.53 = 153,384.48/x
  3. Step 3: Cross multiply
    282,446.91x = 389,775.53 × 153,384.48
  4. Step 4: Simplify right side
    282,446.91x = 59,785,515,332.39
  5. Step 5: Solve for x
    x = 59,785,515,332.39/282,446.91
  6. Step 6: Final answer
    x = 211,669.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.