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Finding the Fourth Proportional to 277,842.33, 416,307.84 and 117,790.38

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Solution

The fourth proportional to 277,842.33, 416,307.84 and 117,790.38 is: 176,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,842.33 : 416,307.84 = 117,790.38 : x
  2. Step 2: Convert to fraction form
    277,842.33/416,307.84 = 117,790.38/x
  3. Step 3: Cross multiply
    277,842.33x = 416,307.84 × 117,790.38
  4. Step 4: Simplify right side
    277,842.33x = 49,037,058,670.58
  5. Step 5: Solve for x
    x = 49,037,058,670.58/277,842.33
  6. Step 6: Final answer
    x = 176,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.