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Finding the Fourth Proportional to 294,770.72, 406,494.61 and 187,153.92

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Solution

The fourth proportional to 294,770.72, 406,494.61 and 187,153.92 is: 258,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,770.72 : 406,494.61 = 187,153.92 : x
  2. Step 2: Convert to fraction form
    294,770.72/406,494.61 = 187,153.92/x
  3. Step 3: Cross multiply
    294,770.72x = 406,494.61 × 187,153.92
  4. Step 4: Simplify right side
    294,770.72x = 76,077,059,252.49
  5. Step 5: Solve for x
    x = 76,077,059,252.49/294,770.72
  6. Step 6: Final answer
    x = 258,088.93

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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.