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Finding the Fourth Proportional to 402,846.94, 604,270.55 and 103,327.52

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Solution

The fourth proportional to 402,846.94, 604,270.55 and 103,327.52 is: 154,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,846.94 : 604,270.55 = 103,327.52 : x
  2. Step 2: Convert to fraction form
    402,846.94/604,270.55 = 103,327.52/x
  3. Step 3: Cross multiply
    402,846.94x = 604,270.55 × 103,327.52
  4. Step 4: Simplify right side
    402,846.94x = 62,437,777,340.54
  5. Step 5: Solve for x
    x = 62,437,777,340.54/402,846.94
  6. Step 6: Final answer
    x = 154,991.32

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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.