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Finding the Fourth Proportional to 416,401.68, 624,607.60 and 146,537.84

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Solution

The fourth proportional to 416,401.68, 624,607.60 and 146,537.84 is: 219,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,401.68 : 624,607.60 = 146,537.84 : x
  2. Step 2: Convert to fraction form
    416,401.68/624,607.60 = 146,537.84/x
  3. Step 3: Cross multiply
    416,401.68x = 624,607.60 × 146,537.84
  4. Step 4: Simplify right side
    416,401.68x = 91,528,648,551.58
  5. Step 5: Solve for x
    x = 91,528,648,551.58/416,401.68
  6. Step 6: Final answer
    x = 219,808.55

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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.