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Finding the Fourth Proportional to 413,001.92, 619,389.59 and 113,411.48

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Solution

The fourth proportional to 413,001.92, 619,389.59 and 113,411.48 is: 170,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,001.92 : 619,389.59 = 113,411.48 : x
  2. Step 2: Convert to fraction form
    413,001.92/619,389.59 = 113,411.48/x
  3. Step 3: Cross multiply
    413,001.92x = 619,389.59 × 113,411.48
  4. Step 4: Simplify right side
    413,001.92x = 70,245,886,434.49
  5. Step 5: Solve for x
    x = 70,245,886,434.49/413,001.92
  6. Step 6: Final answer
    x = 170,086.10

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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.