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Finding the Fourth Proportional to 414,729.95, 621,098.47 and 236,697.22

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Solution

The fourth proportional to 414,729.95, 621,098.47 and 236,697.22 is: 354,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.95 : 621,098.47 = 236,697.22 : x
  2. Step 2: Convert to fraction form
    414,729.95/621,098.47 = 236,697.22/x
  3. Step 3: Cross multiply
    414,729.95x = 621,098.47 × 236,697.22
  4. Step 4: Simplify right side
    414,729.95x = 147,012,281,195.25
  5. Step 5: Solve for x
    x = 147,012,281,195.25/414,729.95
  6. Step 6: Final answer
    x = 354,477.13

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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.