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Finding the Fourth Proportional to 591,840.76, 816,746.22 and 319,913.92

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Solution

The fourth proportional to 591,840.76, 816,746.22 and 319,913.92 is: 441,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,840.76 : 816,746.22 = 319,913.92 : x
  2. Step 2: Convert to fraction form
    591,840.76/816,746.22 = 319,913.92/x
  3. Step 3: Cross multiply
    591,840.76x = 816,746.22 × 319,913.92
  4. Step 4: Simplify right side
    591,840.76x = 261,288,484,885.38
  5. Step 5: Solve for x
    x = 261,288,484,885.38/591,840.76
  6. Step 6: Final answer
    x = 441,484.44

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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.