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Finding the Fourth Proportional to 277,416.42, 382,834.52 and 156,583.06

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Solution

The fourth proportional to 277,416.42, 382,834.52 and 156,583.06 is: 216,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,416.42 : 382,834.52 = 156,583.06 : x
  2. Step 2: Convert to fraction form
    277,416.42/382,834.52 = 156,583.06/x
  3. Step 3: Cross multiply
    277,416.42x = 382,834.52 × 156,583.06
  4. Step 4: Simplify right side
    277,416.42x = 59,945,400,615.23
  5. Step 5: Solve for x
    x = 59,945,400,615.23/277,416.42
  6. Step 6: Final answer
    x = 216,084.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.