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Finding the Fourth Proportional to 292,350.96, 403,436.16 and 165,038.40

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Solution

The fourth proportional to 292,350.96, 403,436.16 and 165,038.40 is: 227,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,350.96 : 403,436.16 = 165,038.40 : x
  2. Step 2: Convert to fraction form
    292,350.96/403,436.16 = 165,038.40/x
  3. Step 3: Cross multiply
    292,350.96x = 403,436.16 × 165,038.40
  4. Step 4: Simplify right side
    292,350.96x = 66,582,458,348.54
  5. Step 5: Solve for x
    x = 66,582,458,348.54/292,350.96
  6. Step 6: Final answer
    x = 227,748.38

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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.