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Finding the Fourth Proportional to 416,394.66, 624,597.10 and 146,530.85

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Solution

The fourth proportional to 416,394.66, 624,597.10 and 146,530.85 is: 219,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,394.66 : 624,597.10 = 146,530.85 : x
  2. Step 2: Convert to fraction form
    416,394.66/624,597.10 = 146,530.85/x
  3. Step 3: Cross multiply
    416,394.66x = 624,597.10 × 146,530.85
  4. Step 4: Simplify right side
    416,394.66x = 91,522,745,165.70
  5. Step 5: Solve for x
    x = 91,522,745,165.70/416,394.66
  6. Step 6: Final answer
    x = 219,798.08

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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.