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Finding the Fourth Proportional to 304,771, 457,186.52 and 105,065.08

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Solution

The fourth proportional to 304,771, 457,186.52 and 105,065.08 is: 157,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,771 : 457,186.52 = 105,065.08 : x
  2. Step 2: Convert to fraction form
    304,771/457,186.52 = 105,065.08/x
  3. Step 3: Cross multiply
    304,771x = 457,186.52 × 105,065.08
  4. Step 4: Simplify right side
    304,771x = 48,034,338,298.72
  5. Step 5: Solve for x
    x = 48,034,338,298.72/304,771
  6. Step 6: Final answer
    x = 157,607.97

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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.