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Finding the Fourth Proportional to 304,871.70, 457,307.55 and 83,255.70

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Solution

The fourth proportional to 304,871.70, 457,307.55 and 83,255.70 is: 124,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871.70 : 457,307.55 = 83,255.70 : x
  2. Step 2: Convert to fraction form
    304,871.70/457,307.55 = 83,255.70/x
  3. Step 3: Cross multiply
    304,871.70x = 457,307.55 × 83,255.70
  4. Step 4: Simplify right side
    304,871.70x = 38,073,460,190.54
  5. Step 5: Solve for x
    x = 38,073,460,190.54/304,871.70
  6. Step 6: Final answer
    x = 124,883.55

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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.