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Finding the Fourth Proportional to 277,429.56, 382,854.11 and 156,575.94

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Solution

The fourth proportional to 277,429.56, 382,854.11 and 156,575.94 is: 216,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,429.56 : 382,854.11 = 156,575.94 : x
  2. Step 2: Convert to fraction form
    277,429.56/382,854.11 = 156,575.94/x
  3. Step 3: Cross multiply
    277,429.56x = 382,854.11 × 156,575.94
  4. Step 4: Simplify right side
    277,429.56x = 59,945,741,373.23
  5. Step 5: Solve for x
    x = 59,945,741,373.23/277,429.56
  6. Step 6: Final answer
    x = 216,075.54

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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.