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Finding the Fourth Proportional to 417,056.50, 625,584.93 and 150,811.12

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Solution

The fourth proportional to 417,056.50, 625,584.93 and 150,811.12 is: 226,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,056.50 : 625,584.93 = 150,811.12 : x
  2. Step 2: Convert to fraction form
    417,056.50/625,584.93 = 150,811.12/x
  3. Step 3: Cross multiply
    417,056.50x = 625,584.93 × 150,811.12
  4. Step 4: Simplify right side
    417,056.50x = 94,345,163,948.42
  5. Step 5: Solve for x
    x = 94,345,163,948.42/417,056.50
  6. Step 6: Final answer
    x = 226,216.75

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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.