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Finding the Fourth Proportional to 304,643.12, 457,227.16 and 147,004.16

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Solution

The fourth proportional to 304,643.12, 457,227.16 and 147,004.16 is: 220,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,643.12 : 457,227.16 = 147,004.16 : x
  2. Step 2: Convert to fraction form
    304,643.12/457,227.16 = 147,004.16/x
  3. Step 3: Cross multiply
    304,643.12x = 457,227.16 × 147,004.16
  4. Step 4: Simplify right side
    304,643.12x = 67,214,294,584.99
  5. Step 5: Solve for x
    x = 67,214,294,584.99/304,643.12
  6. Step 6: Final answer
    x = 220,632.90

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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.