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Finding the Fourth Proportional to 524,343.92, 723,656.16 and 298,023.44

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Solution

The fourth proportional to 524,343.92, 723,656.16 and 298,023.44 is: 411,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,343.92 : 723,656.16 = 298,023.44 : x
  2. Step 2: Convert to fraction form
    524,343.92/723,656.16 = 298,023.44/x
  3. Step 3: Cross multiply
    524,343.92x = 723,656.16 × 298,023.44
  4. Step 4: Simplify right side
    524,343.92x = 215,666,498,180.39
  5. Step 5: Solve for x
    x = 215,666,498,180.39/524,343.92
  6. Step 6: Final answer
    x = 411,307.33

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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.