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Finding the Fourth Proportional to 416,405.37, 624,514.62 and 191,549.85

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Solution

The fourth proportional to 416,405.37, 624,514.62 and 191,549.85 is: 287,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405.37 : 624,514.62 = 191,549.85 : x
  2. Step 2: Convert to fraction form
    416,405.37/624,514.62 = 191,549.85/x
  3. Step 3: Cross multiply
    416,405.37x = 624,514.62 × 191,549.85
  4. Step 4: Simplify right side
    416,405.37x = 119,625,681,783.81
  5. Step 5: Solve for x
    x = 119,625,681,783.81/416,405.37
  6. Step 6: Final answer
    x = 287,281.79

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1.5x scale

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.