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Finding the Fourth Proportional to 413,678.60, 619,943.81 and 188,488.70

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Solution

The fourth proportional to 413,678.60, 619,943.81 and 188,488.70 is: 282,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,678.60 : 619,943.81 = 188,488.70 : x
  2. Step 2: Convert to fraction form
    413,678.60/619,943.81 = 188,488.70/x
  3. Step 3: Cross multiply
    413,678.60x = 619,943.81 × 188,488.70
  4. Step 4: Simplify right side
    413,678.60x = 116,852,398,777.78
  5. Step 5: Solve for x
    x = 116,852,398,777.78/413,678.60
  6. Step 6: Final answer
    x = 282,471.47

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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.