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Finding the Fourth Proportional to 362,892.06, 500,762.67 and 201,737.30

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Solution

The fourth proportional to 362,892.06, 500,762.67 and 201,737.30 is: 278,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,892.06 : 500,762.67 = 201,737.30 : x
  2. Step 2: Convert to fraction form
    362,892.06/500,762.67 = 201,737.30/x
  3. Step 3: Cross multiply
    362,892.06x = 500,762.67 × 201,737.30
  4. Step 4: Simplify right side
    362,892.06x = 101,022,506,482.78
  5. Step 5: Solve for x
    x = 101,022,506,482.78/362,892.06
  6. Step 6: Final answer
    x = 278,381.69

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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.