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Finding the Fourth Proportional to 595,524.71, 892,784.64 and 258,311.48

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Solution

The fourth proportional to 595,524.71, 892,784.64 and 258,311.48 is: 387,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,524.71 : 892,784.64 = 258,311.48 : x
  2. Step 2: Convert to fraction form
    595,524.71/892,784.64 = 258,311.48/x
  3. Step 3: Cross multiply
    595,524.71x = 892,784.64 × 258,311.48
  4. Step 4: Simplify right side
    595,524.71x = 230,616,521,679.67
  5. Step 5: Solve for x
    x = 230,616,521,679.67/595,524.71
  6. Step 6: Final answer
    x = 387,249.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.