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Finding the Fourth Proportional to 402,546, 603,839.52 and 103,029.04

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Solution

The fourth proportional to 402,546, 603,839.52 and 103,029.04 is: 154,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,546 : 603,839.52 = 103,029.04 : x
  2. Step 2: Convert to fraction form
    402,546/603,839.52 = 103,029.04/x
  3. Step 3: Cross multiply
    402,546x = 603,839.52 × 103,029.04
  4. Step 4: Simplify right side
    402,546x = 62,213,006,059.66
  5. Step 5: Solve for x
    x = 62,213,006,059.66/402,546
  6. Step 6: Final answer
    x = 154,548.81

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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.