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Finding the Fourth Proportional to 517,411.40, 775,655.40 and 201,794.90

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Solution

The fourth proportional to 517,411.40, 775,655.40 and 201,794.90 is: 302,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,411.40 : 775,655.40 = 201,794.90 : x
  2. Step 2: Convert to fraction form
    517,411.40/775,655.40 = 201,794.90/x
  3. Step 3: Cross multiply
    517,411.40x = 775,655.40 × 201,794.90
  4. Step 4: Simplify right side
    517,411.40x = 156,523,303,877.46
  5. Step 5: Solve for x
    x = 156,523,303,877.46/517,411.40
  6. Step 6: Final answer
    x = 302,512.28

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