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Finding the Fourth Proportional to 342,025, 513,044.79 and 117,384.46

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Solution

The fourth proportional to 342,025, 513,044.79 and 117,384.46 is: 176,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,025 : 513,044.79 = 117,384.46 : x
  2. Step 2: Convert to fraction form
    342,025/513,044.79 = 117,384.46/x
  3. Step 3: Cross multiply
    342,025x = 513,044.79 × 117,384.46
  4. Step 4: Simplify right side
    342,025x = 60,223,485,629.96
  5. Step 5: Solve for x
    x = 60,223,485,629.96/342,025
  6. Step 6: Final answer
    x = 176,079.19

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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.