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Finding the Fourth Proportional to 475,278.16, 712,704.12 and 283,243.27

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Solution

The fourth proportional to 475,278.16, 712,704.12 and 283,243.27 is: 424,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,278.16 : 712,704.12 = 283,243.27 : x
  2. Step 2: Convert to fraction form
    475,278.16/712,704.12 = 283,243.27/x
  3. Step 3: Cross multiply
    475,278.16x = 712,704.12 × 283,243.27
  4. Step 4: Simplify right side
    475,278.16x = 201,868,642,981.43
  5. Step 5: Solve for x
    x = 201,868,642,981.43/475,278.16
  6. Step 6: Final answer
    x = 424,737.89

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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.