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Finding the Fourth Proportional to 362,707.92, 500,549.09 and 201,569.76

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Solution

The fourth proportional to 362,707.92, 500,549.09 and 201,569.76 is: 278,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,707.92 : 500,549.09 = 201,569.76 : x
  2. Step 2: Convert to fraction form
    362,707.92/500,549.09 = 201,569.76/x
  3. Step 3: Cross multiply
    362,707.92x = 500,549.09 × 201,569.76
  4. Step 4: Simplify right side
    362,707.92x = 100,895,558,931.67
  5. Step 5: Solve for x
    x = 100,895,558,931.67/362,707.92
  6. Step 6: Final answer
    x = 278,173.02

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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.