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Finding the Fourth Proportional to 533,731.70, 800,528.43 and 201,264.50

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Solution

The fourth proportional to 533,731.70, 800,528.43 and 201,264.50 is: 301,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,731.70 : 800,528.43 = 201,264.50 : x
  2. Step 2: Convert to fraction form
    533,731.70/800,528.43 = 201,264.50/x
  3. Step 3: Cross multiply
    533,731.70x = 800,528.43 × 201,264.50
  4. Step 4: Simplify right side
    533,731.70x = 161,117,954,199.74
  5. Step 5: Solve for x
    x = 161,117,954,199.74/533,731.70
  6. Step 6: Final answer
    x = 301,870.69

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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.