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Finding the Fourth Proportional to 405,938.08, 560,180.70 and 224,657.62

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Solution

The fourth proportional to 405,938.08, 560,180.70 and 224,657.62 is: 310,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938.08 : 560,180.70 = 224,657.62 : x
  2. Step 2: Convert to fraction form
    405,938.08/560,180.70 = 224,657.62/x
  3. Step 3: Cross multiply
    405,938.08x = 560,180.70 × 224,657.62
  4. Step 4: Simplify right side
    405,938.08x = 125,848,862,831.93
  5. Step 5: Solve for x
    x = 125,848,862,831.93/405,938.08
  6. Step 6: Final answer
    x = 310,019.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.