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Finding the Fourth Proportional to 362,151.89, 499,746.12 and 201,006.98

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Solution

The fourth proportional to 362,151.89, 499,746.12 and 201,006.98 is: 277,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,151.89 : 499,746.12 = 201,006.98 : x
  2. Step 2: Convert to fraction form
    362,151.89/499,746.12 = 201,006.98/x
  3. Step 3: Cross multiply
    362,151.89x = 499,746.12 × 201,006.98
  4. Step 4: Simplify right side
    362,151.89x = 100,452,455,849.19
  5. Step 5: Solve for x
    x = 100,452,455,849.19/362,151.89
  6. Step 6: Final answer
    x = 277,376.59

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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.