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Finding the Fourth Proportional to 277,488.96, 382,840.96 and 180,648.48

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Solution

The fourth proportional to 277,488.96, 382,840.96 and 180,648.48 is: 249,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.96 : 382,840.96 = 180,648.48 : x
  2. Step 2: Convert to fraction form
    277,488.96/382,840.96 = 180,648.48/x
  3. Step 3: Cross multiply
    277,488.96x = 382,840.96 × 180,648.48
  4. Step 4: Simplify right side
    277,488.96x = 69,159,637,505.74
  5. Step 5: Solve for x
    x = 69,159,637,505.74/277,488.96
  6. Step 6: Final answer
    x = 249,233.83

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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.