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Finding the Fourth Proportional to 416,256.96, 624,002.72 and 149,952.35

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Solution

The fourth proportional to 416,256.96, 624,002.72 and 149,952.35 is: 224,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,256.96 : 624,002.72 = 149,952.35 : x
  2. Step 2: Convert to fraction form
    416,256.96/624,002.72 = 149,952.35/x
  3. Step 3: Cross multiply
    416,256.96x = 624,002.72 × 149,952.35
  4. Step 4: Simplify right side
    416,256.96x = 93,570,674,270.39
  5. Step 5: Solve for x
    x = 93,570,674,270.39/416,256.96
  6. Step 6: Final answer
    x = 224,790.65

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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.