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Finding the Fourth Proportional to 304,770.72, 457,186.14 and 105,064.83

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Solution

The fourth proportional to 304,770.72, 457,186.14 and 105,064.83 is: 157,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,770.72 : 457,186.14 = 105,064.83 : x
  2. Step 2: Convert to fraction form
    304,770.72/457,186.14 = 105,064.83/x
  3. Step 3: Cross multiply
    304,770.72x = 457,186.14 × 105,064.83
  4. Step 4: Simplify right side
    304,770.72x = 48,034,184,077.46
  5. Step 5: Solve for x
    x = 48,034,184,077.46/304,770.72
  6. Step 6: Final answer
    x = 157,607.61

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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.