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Finding the Fourth Proportional to 277,543.53, 383,013.21 and 162,824.13

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Solution

The fourth proportional to 277,543.53, 383,013.21 and 162,824.13 is: 224,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,543.53 : 383,013.21 = 162,824.13 : x
  2. Step 2: Convert to fraction form
    277,543.53/383,013.21 = 162,824.13/x
  3. Step 3: Cross multiply
    277,543.53x = 383,013.21 × 162,824.13
  4. Step 4: Simplify right side
    277,543.53x = 62,363,790,649.87
  5. Step 5: Solve for x
    x = 62,363,790,649.87/277,543.53
  6. Step 6: Final answer
    x = 224,699.13

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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.