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Finding the Fourth Proportional to 304,838.80, 457,253.08 and 83,222.80

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Solution

The fourth proportional to 304,838.80, 457,253.08 and 83,222.80 is: 124,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838.80 : 457,253.08 = 83,222.80 : x
  2. Step 2: Convert to fraction form
    304,838.80/457,253.08 = 83,222.80/x
  3. Step 3: Cross multiply
    304,838.80x = 457,253.08 × 83,222.80
  4. Step 4: Simplify right side
    304,838.80x = 38,053,881,626.22
  5. Step 5: Solve for x
    x = 38,053,881,626.22/304,838.80
  6. Step 6: Final answer
    x = 124,832.80

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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.