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Finding the Fourth Proportional to 304,801.82, 457,290.22 and 199,490.48

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Solution

The fourth proportional to 304,801.82, 457,290.22 and 199,490.48 is: 299,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,801.82 : 457,290.22 = 199,490.48 : x
  2. Step 2: Convert to fraction form
    304,801.82/457,290.22 = 199,490.48/x
  3. Step 3: Cross multiply
    304,801.82x = 457,290.22 × 199,490.48
  4. Step 4: Simplify right side
    304,801.82x = 91,225,045,487.11
  5. Step 5: Solve for x
    x = 91,225,045,487.11/304,801.82
  6. Step 6: Final answer
    x = 299,292.98

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1.5x scale

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.