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Finding the Fourth Proportional to 277,104.59, 382,408.58 and 162,355.77

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Solution

The fourth proportional to 277,104.59, 382,408.58 and 162,355.77 is: 224,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,104.59 : 382,408.58 = 162,355.77 : x
  2. Step 2: Convert to fraction form
    277,104.59/382,408.58 = 162,355.77/x
  3. Step 3: Cross multiply
    277,104.59x = 382,408.58 × 162,355.77
  4. Step 4: Simplify right side
    277,104.59x = 62,086,239,866.40
  5. Step 5: Solve for x
    x = 62,086,239,866.40/277,104.59
  6. Step 6: Final answer
    x = 224,053.46

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1.5x scale

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.