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Finding the Fourth Proportional to 277,932.02, 414,864.05 and 238,740.98

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Solution

The fourth proportional to 277,932.02, 414,864.05 and 238,740.98 is: 356,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,932.02 : 414,864.05 = 238,740.98 : x
  2. Step 2: Convert to fraction form
    277,932.02/414,864.05 = 238,740.98/x
  3. Step 3: Cross multiply
    277,932.02x = 414,864.05 × 238,740.98
  4. Step 4: Simplify right side
    277,932.02x = 99,045,049,863.77
  5. Step 5: Solve for x
    x = 99,045,049,863.77/277,932.02
  6. Step 6: Final answer
    x = 356,364.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.