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Finding the Fourth Proportional to 292,597.88, 403,817.94 and 165,281.67

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Solution

The fourth proportional to 292,597.88, 403,817.94 and 165,281.67 is: 228,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,597.88 : 403,817.94 = 165,281.67 : x
  2. Step 2: Convert to fraction form
    292,597.88/403,817.94 = 165,281.67/x
  3. Step 3: Cross multiply
    292,597.88x = 403,817.94 × 165,281.67
  4. Step 4: Simplify right side
    292,597.88x = 66,743,703,499.16
  5. Step 5: Solve for x
    x = 66,743,703,499.16/292,597.88
  6. Step 6: Final answer
    x = 228,107.27

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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.