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Finding the Fourth Proportional to 949,309, 1,424,196.79 and 284,461

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Solution

The fourth proportional to 949,309, 1,424,196.79 and 284,461 is: 426,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,309 : 1,424,196.79 = 284,461 : x
  2. Step 2: Convert to fraction form
    949,309/1,424,196.79 = 284,461/x
  3. Step 3: Cross multiply
    949,309x = 1,424,196.79 × 284,461
  4. Step 4: Simplify right side
    949,309x = 405,128,443,080.19
  5. Step 5: Solve for x
    x = 405,128,443,080.19/949,309
  6. Step 6: Final answer
    x = 426,761.41

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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.