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Finding the Fourth Proportional to 277,333.83, 382,687.74 and 156,468.06

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Solution

The fourth proportional to 277,333.83, 382,687.74 and 156,468.06 is: 215,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,333.83 : 382,687.74 = 156,468.06 : x
  2. Step 2: Convert to fraction form
    277,333.83/382,687.74 = 156,468.06/x
  3. Step 3: Cross multiply
    277,333.83x = 382,687.74 × 156,468.06
  4. Step 4: Simplify right side
    277,333.83x = 59,878,408,263.58
  5. Step 5: Solve for x
    x = 59,878,408,263.58/277,333.83
  6. Step 6: Final answer
    x = 215,907.34

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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.