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Finding the Fourth Proportional to 364,039.10, 546,058.65 and 331,379.90

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Solution

The fourth proportional to 364,039.10, 546,058.65 and 331,379.90 is: 497,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,039.10 : 546,058.65 = 331,379.90 : x
  2. Step 2: Convert to fraction form
    364,039.10/546,058.65 = 331,379.90/x
  3. Step 3: Cross multiply
    364,039.10x = 546,058.65 × 331,379.90
  4. Step 4: Simplify right side
    364,039.10x = 180,952,860,831.14
  5. Step 5: Solve for x
    x = 180,952,860,831.14/364,039.10
  6. Step 6: Final answer
    x = 497,069.85

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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.