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Finding the Fourth Proportional to 292,918.16, 404,211.36 and 165,586.16

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Solution

The fourth proportional to 292,918.16, 404,211.36 and 165,586.16 is: 228,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,918.16 : 404,211.36 = 165,586.16 : x
  2. Step 2: Convert to fraction form
    292,918.16/404,211.36 = 165,586.16/x
  3. Step 3: Cross multiply
    292,918.16x = 404,211.36 × 165,586.16
  4. Step 4: Simplify right side
    292,918.16x = 66,931,806,930.78
  5. Step 5: Solve for x
    x = 66,931,806,930.78/292,918.16
  6. Step 6: Final answer
    x = 228,500.03

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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.