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Finding the Fourth Proportional to 416,551.34, 624,697.72 and 150,277.16

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Solution

The fourth proportional to 416,551.34, 624,697.72 and 150,277.16 is: 225,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,551.34 : 624,697.72 = 150,277.16 : x
  2. Step 2: Convert to fraction form
    416,551.34/624,697.72 = 150,277.16/x
  3. Step 3: Cross multiply
    416,551.34x = 624,697.72 × 150,277.16
  4. Step 4: Simplify right side
    416,551.34x = 93,877,799,220.08
  5. Step 5: Solve for x
    x = 93,877,799,220.08/416,551.34
  6. Step 6: Final answer
    x = 225,369.10

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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.