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Finding the Fourth Proportional to 304,282.23, 419,807.50 and 175,217.93

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Solution

The fourth proportional to 304,282.23, 419,807.50 and 175,217.93 is: 241,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,282.23 : 419,807.50 = 175,217.93 : x
  2. Step 2: Convert to fraction form
    304,282.23/419,807.50 = 175,217.93/x
  3. Step 3: Cross multiply
    304,282.23x = 419,807.50 × 175,217.93
  4. Step 4: Simplify right side
    304,282.23x = 73,557,799,497.76
  5. Step 5: Solve for x
    x = 73,557,799,497.76/304,282.23
  6. Step 6: Final answer
    x = 241,742.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.