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Finding the Fourth Proportional to 458,658.08, 633,247.86 and 297,971.06

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Solution

The fourth proportional to 458,658.08, 633,247.86 and 297,971.06 is: 411,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,658.08 : 633,247.86 = 297,971.06 : x
  2. Step 2: Convert to fraction form
    458,658.08/633,247.86 = 297,971.06/x
  3. Step 3: Cross multiply
    458,658.08x = 633,247.86 × 297,971.06
  4. Step 4: Simplify right side
    458,658.08x = 188,689,536,086.93
  5. Step 5: Solve for x
    x = 188,689,536,086.93/458,658.08
  6. Step 6: Final answer
    x = 411,394.77

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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.