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Finding the Fourth Proportional to 342,024, 513,043.29 and 117,383.46

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Solution

The fourth proportional to 342,024, 513,043.29 and 117,383.46 is: 176,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024 : 513,043.29 = 117,383.46 : x
  2. Step 2: Convert to fraction form
    342,024/513,043.29 = 117,383.46/x
  3. Step 3: Cross multiply
    342,024x = 513,043.29 × 117,383.46
  4. Step 4: Simplify right side
    342,024x = 60,222,796,509.98
  5. Step 5: Solve for x
    x = 60,222,796,509.98/342,024
  6. Step 6: Final answer
    x = 176,077.69

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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.