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Finding the Fourth Proportional to 416,562.74, 624,714.88 and 150,288.64

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Solution

The fourth proportional to 416,562.74, 624,714.88 and 150,288.64 is: 225,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562.74 : 624,714.88 = 150,288.64 : x
  2. Step 2: Convert to fraction form
    416,562.74/624,714.88 = 150,288.64/x
  3. Step 3: Cross multiply
    416,562.74x = 624,714.88 × 150,288.64
  4. Step 4: Simplify right side
    416,562.74x = 93,887,549,702.96
  5. Step 5: Solve for x
    x = 93,887,549,702.96/416,562.74
  6. Step 6: Final answer
    x = 225,386.34

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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.