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Finding the Fourth Proportional to 600,138.99, 828,165.33 and 342,071.91

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Solution

The fourth proportional to 600,138.99, 828,165.33 and 342,071.91 is: 472,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138.99 : 828,165.33 = 342,071.91 : x
  2. Step 2: Convert to fraction form
    600,138.99/828,165.33 = 342,071.91/x
  3. Step 3: Cross multiply
    600,138.99x = 828,165.33 × 342,071.91
  4. Step 4: Simplify right side
    600,138.99x = 283,292,096,228.88
  5. Step 5: Solve for x
    x = 283,292,096,228.88/600,138.99
  6. Step 6: Final answer
    x = 472,044.14

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Why These Related Problems?

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