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Finding the Fourth Proportional to 473,262.08, 709,927.20 and 149,022.40

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Solution

The fourth proportional to 473,262.08, 709,927.20 and 149,022.40 is: 223,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,262.08 : 709,927.20 = 149,022.40 : x
  2. Step 2: Convert to fraction form
    473,262.08/709,927.20 = 149,022.40/x
  3. Step 3: Cross multiply
    473,262.08x = 709,927.20 × 149,022.40
  4. Step 4: Simplify right side
    473,262.08x = 105,795,055,169.28
  5. Step 5: Solve for x
    x = 105,795,055,169.28/473,262.08
  6. Step 6: Final answer
    x = 223,544.33

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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.