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Finding the Fourth Proportional to 363,382.93, 502,037.23 and 277,642

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Solution

The fourth proportional to 363,382.93, 502,037.23 and 277,642 is: 383,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,382.93 : 502,037.23 = 277,642 : x
  2. Step 2: Convert to fraction form
    363,382.93/502,037.23 = 277,642/x
  3. Step 3: Cross multiply
    363,382.93x = 502,037.23 × 277,642
  4. Step 4: Simplify right side
    363,382.93x = 139,386,619,223.45
  5. Step 5: Solve for x
    x = 139,386,619,223.45/363,382.93
  6. Step 6: Final answer
    x = 383,580.54

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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.