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Finding the Fourth Proportional to 403,216.85, 604,805.23 and 150,478.02

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Solution

The fourth proportional to 403,216.85, 604,805.23 and 150,478.02 is: 225,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,216.85 : 604,805.23 = 150,478.02 : x
  2. Step 2: Convert to fraction form
    403,216.85/604,805.23 = 150,478.02/x
  3. Step 3: Cross multiply
    403,216.85x = 604,805.23 × 150,478.02
  4. Step 4: Simplify right side
    403,216.85x = 91,009,893,684.14
  5. Step 5: Solve for x
    x = 91,009,893,684.14/403,216.85
  6. Step 6: Final answer
    x = 225,709.55

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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.