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Finding the Fourth Proportional to 304,834.80, 457,252.20 and 83,218.80

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Solution

The fourth proportional to 304,834.80, 457,252.20 and 83,218.80 is: 124,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,834.80 : 457,252.20 = 83,218.80 : x
  2. Step 2: Convert to fraction form
    304,834.80/457,252.20 = 83,218.80/x
  3. Step 3: Cross multiply
    304,834.80x = 457,252.20 × 83,218.80
  4. Step 4: Simplify right side
    304,834.80x = 38,051,979,381.36
  5. Step 5: Solve for x
    x = 38,051,979,381.36/304,834.80
  6. Step 6: Final answer
    x = 124,828.20

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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.