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Finding the Fourth Proportional to 949,720, 1,424,580 and 284,872

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Solution

The fourth proportional to 949,720, 1,424,580 and 284,872 is: 427,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,720 : 1,424,580 = 284,872 : x
  2. Step 2: Convert to fraction form
    949,720/1,424,580 = 284,872/x
  3. Step 3: Cross multiply
    949,720x = 1,424,580 × 284,872
  4. Step 4: Simplify right side
    949,720x = 405,822,953,760
  5. Step 5: Solve for x
    x = 405,822,953,760/949,720
  6. Step 6: Final answer
    x = 427,308

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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.