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Finding the Fourth Proportional to 522,855.88, 721,541.05 and 296,501.38

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Solution

The fourth proportional to 522,855.88, 721,541.05 and 296,501.38 is: 409,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,855.88 : 721,541.05 = 296,501.38 : x
  2. Step 2: Convert to fraction form
    522,855.88/721,541.05 = 296,501.38/x
  3. Step 3: Cross multiply
    522,855.88x = 721,541.05 × 296,501.38
  4. Step 4: Simplify right side
    522,855.88x = 213,937,917,051.65
  5. Step 5: Solve for x
    x = 213,937,917,051.65/522,855.88
  6. Step 6: Final answer
    x = 409,171.87

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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.