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Finding the Fourth Proportional to 510,911.86, 705,058.50 and 296,176.90

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Solution

The fourth proportional to 510,911.86, 705,058.50 and 296,176.90 is: 408,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,911.86 : 705,058.50 = 296,176.90 : x
  2. Step 2: Convert to fraction form
    510,911.86/705,058.50 = 296,176.90/x
  3. Step 3: Cross multiply
    510,911.86x = 705,058.50 × 296,176.90
  4. Step 4: Simplify right side
    510,911.86x = 208,822,040,848.65
  5. Step 5: Solve for x
    x = 208,822,040,848.65/510,911.86
  6. Step 6: Final answer
    x = 408,724.20

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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.