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Finding the Fourth Proportional to 277,496.85, 382,852.17 and 180,656.49

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Solution

The fourth proportional to 277,496.85, 382,852.17 and 180,656.49 is: 249,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496.85 : 382,852.17 = 180,656.49 : x
  2. Step 2: Convert to fraction form
    277,496.85/382,852.17 = 180,656.49/x
  3. Step 3: Cross multiply
    277,496.85x = 382,852.17 × 180,656.49
  4. Step 4: Simplify right side
    277,496.85x = 69,164,729,221.08
  5. Step 5: Solve for x
    x = 69,164,729,221.08/277,496.85
  6. Step 6: Final answer
    x = 249,245.10

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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.