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Finding the Fourth Proportional to 277,242.88, 382,654.47 and 175,203.40

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Solution

The fourth proportional to 277,242.88, 382,654.47 and 175,203.40 is: 241,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,242.88 : 382,654.47 = 175,203.40 : x
  2. Step 2: Convert to fraction form
    277,242.88/382,654.47 = 175,203.40/x
  3. Step 3: Cross multiply
    277,242.88x = 382,654.47 × 175,203.40
  4. Step 4: Simplify right side
    277,242.88x = 67,042,364,169.20
  5. Step 5: Solve for x
    x = 67,042,364,169.20/277,242.88
  6. Step 6: Final answer
    x = 241,818.16

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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.