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Finding the Fourth Proportional to 508,767, 702,098.46 and 282,433.56

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Solution

The fourth proportional to 508,767, 702,098.46 and 282,433.56 is: 389,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,767 : 702,098.46 = 282,433.56 : x
  2. Step 2: Convert to fraction form
    508,767/702,098.46 = 282,433.56/x
  3. Step 3: Cross multiply
    508,767x = 702,098.46 × 282,433.56
  4. Step 4: Simplify right side
    508,767x = 198,296,167,528.32
  5. Step 5: Solve for x
    x = 198,296,167,528.32/508,767
  6. Step 6: Final answer
    x = 389,758.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.