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Finding the Fourth Proportional to 402,846.97, 603,726.12 and 153,392.89

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Solution

The fourth proportional to 402,846.97, 603,726.12 and 153,392.89 is: 229,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,846.97 : 603,726.12 = 153,392.89 : x
  2. Step 2: Convert to fraction form
    402,846.97/603,726.12 = 153,392.89/x
  3. Step 3: Cross multiply
    402,846.97x = 603,726.12 × 153,392.89
  4. Step 4: Simplify right side
    402,846.97x = 92,607,294,315.29
  5. Step 5: Solve for x
    x = 92,607,294,315.29/402,846.97
  6. Step 6: Final answer
    x = 229,882.07

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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.