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Finding the Fourth Proportional to 277,709.42, 383,097.93 and 162,912.98

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Solution

The fourth proportional to 277,709.42, 383,097.93 and 162,912.98 is: 224,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,709.42 : 383,097.93 = 162,912.98 : x
  2. Step 2: Convert to fraction form
    277,709.42/383,097.93 = 162,912.98/x
  3. Step 3: Cross multiply
    277,709.42x = 383,097.93 × 162,912.98
  4. Step 4: Simplify right side
    277,709.42x = 62,411,625,408.13
  5. Step 5: Solve for x
    x = 62,411,625,408.13/277,709.42
  6. Step 6: Final answer
    x = 224,737.16

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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.