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Finding the Fourth Proportional to 395,294.06, 592,950.82 and 114,813.74

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Solution

The fourth proportional to 395,294.06, 592,950.82 and 114,813.74 is: 172,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,294.06 : 592,950.82 = 114,813.74 : x
  2. Step 2: Convert to fraction form
    395,294.06/592,950.82 = 114,813.74/x
  3. Step 3: Cross multiply
    395,294.06x = 592,950.82 × 114,813.74
  4. Step 4: Simplify right side
    395,294.06x = 68,078,901,280.27
  5. Step 5: Solve for x
    x = 68,078,901,280.27/395,294.06
  6. Step 6: Final answer
    x = 172,223.44

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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.