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Finding the Fourth Proportional to 416,011.12, 624,015.30 and 100,468

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Solution

The fourth proportional to 416,011.12, 624,015.30 and 100,468 is: 150,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,011.12 : 624,015.30 = 100,468 : x
  2. Step 2: Convert to fraction form
    416,011.12/624,015.30 = 100,468/x
  3. Step 3: Cross multiply
    416,011.12x = 624,015.30 × 100,468
  4. Step 4: Simplify right side
    416,011.12x = 62,693,569,160.40
  5. Step 5: Solve for x
    x = 62,693,569,160.40/416,011.12
  6. Step 6: Final answer
    x = 150,701.67

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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.