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Finding the Fourth Proportional to 292,606.89, 403,830.36 and 165,290.67

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Solution

The fourth proportional to 292,606.89, 403,830.36 and 165,290.67 is: 228,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,606.89 : 403,830.36 = 165,290.67 : x
  2. Step 2: Convert to fraction form
    292,606.89/403,830.36 = 165,290.67/x
  3. Step 3: Cross multiply
    292,606.89x = 403,830.36 × 165,290.67
  4. Step 4: Simplify right side
    292,606.89x = 66,749,390,770.74
  5. Step 5: Solve for x
    x = 66,749,390,770.74/292,606.89
  6. Step 6: Final answer
    x = 228,119.68

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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.