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Finding the Fourth Proportional to 402,563.66, 603,831.64 and 103,046.83

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Solution

The fourth proportional to 402,563.66, 603,831.64 and 103,046.83 is: 154,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,563.66 : 603,831.64 = 103,046.83 : x
  2. Step 2: Convert to fraction form
    402,563.66/603,831.64 = 103,046.83/x
  3. Step 3: Cross multiply
    402,563.66x = 603,831.64 × 103,046.83
  4. Step 4: Simplify right side
    402,563.66x = 62,222,934,974.93
  5. Step 5: Solve for x
    x = 62,222,934,974.93/402,563.66
  6. Step 6: Final answer
    x = 154,566.70

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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.