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Finding the Fourth Proportional to 402,015.41, 603,036.44 and 202,226.93

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Solution

The fourth proportional to 402,015.41, 603,036.44 and 202,226.93 is: 303,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,015.41 : 603,036.44 = 202,226.93 : x
  2. Step 2: Convert to fraction form
    402,015.41/603,036.44 = 202,226.93/x
  3. Step 3: Cross multiply
    402,015.41x = 603,036.44 × 202,226.93
  4. Step 4: Simplify right side
    402,015.41x = 121,950,207,684.27
  5. Step 5: Solve for x
    x = 121,950,207,684.27/402,015.41
  6. Step 6: Final answer
    x = 303,347.10

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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.