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Finding the Fourth Proportional to 304,811.84, 457,238.72 and 91,570.84

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Solution

The fourth proportional to 304,811.84, 457,238.72 and 91,570.84 is: 137,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,811.84 : 457,238.72 = 91,570.84 : x
  2. Step 2: Convert to fraction form
    304,811.84/457,238.72 = 91,570.84/x
  3. Step 3: Cross multiply
    304,811.84x = 457,238.72 × 91,570.84
  4. Step 4: Simplify right side
    304,811.84x = 41,869,732,756.76
  5. Step 5: Solve for x
    x = 41,869,732,756.76/304,811.84
  6. Step 6: Final answer
    x = 137,362.55

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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.