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Finding the Fourth Proportional to 277,411.32, 382,821.03 and 156,549.39

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Solution

The fourth proportional to 277,411.32, 382,821.03 and 156,549.39 is: 216,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,411.32 : 382,821.03 = 156,549.39 : x
  2. Step 2: Convert to fraction form
    277,411.32/382,821.03 = 156,549.39/x
  3. Step 3: Cross multiply
    277,411.32x = 382,821.03 × 156,549.39
  4. Step 4: Simplify right side
    277,411.32x = 59,930,398,725.67
  5. Step 5: Solve for x
    x = 59,930,398,725.67/277,411.32
  6. Step 6: Final answer
    x = 216,034.44

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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.