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Finding the Fourth Proportional to 365,281.22, 503,761.70 and 229,327.83

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Solution

The fourth proportional to 365,281.22, 503,761.70 and 229,327.83 is: 316,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,281.22 : 503,761.70 = 229,327.83 : x
  2. Step 2: Convert to fraction form
    365,281.22/503,761.70 = 229,327.83/x
  3. Step 3: Cross multiply
    365,281.22x = 503,761.70 × 229,327.83
  4. Step 4: Simplify right side
    365,281.22x = 115,526,578,071.43
  5. Step 5: Solve for x
    x = 115,526,578,071.43/365,281.22
  6. Step 6: Final answer
    x = 316,267.50

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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.