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Finding the Fourth Proportional to 416,264, 624,374.08 and 116,765.28

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Solution

The fourth proportional to 416,264, 624,374.08 and 116,765.28 is: 175,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,264 : 624,374.08 = 116,765.28 : x
  2. Step 2: Convert to fraction form
    416,264/624,374.08 = 116,765.28/x
  3. Step 3: Cross multiply
    416,264x = 624,374.08 × 116,765.28
  4. Step 4: Simplify right side
    416,264x = 72,905,214,275.94
  5. Step 5: Solve for x
    x = 72,905,214,275.94/416,264
  6. Step 6: Final answer
    x = 175,141.77

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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.