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Finding the Fourth Proportional to 517,002.40, 775,186.08 and 201,091.12

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Solution

The fourth proportional to 517,002.40, 775,186.08 and 201,091.12 is: 301,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,002.40 : 775,186.08 = 201,091.12 : x
  2. Step 2: Convert to fraction form
    517,002.40/775,186.08 = 201,091.12/x
  3. Step 3: Cross multiply
    517,002.40x = 775,186.08 × 201,091.12
  4. Step 4: Simplify right side
    517,002.40x = 155,883,037,035.61
  5. Step 5: Solve for x
    x = 155,883,037,035.61/517,002.40
  6. Step 6: Final answer
    x = 301,513.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.