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Finding the Fourth Proportional to 292,737.91, 403,968.03 and 165,410.77

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Solution

The fourth proportional to 292,737.91, 403,968.03 and 165,410.77 is: 228,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,737.91 : 403,968.03 = 165,410.77 : x
  2. Step 2: Convert to fraction form
    292,737.91/403,968.03 = 165,410.77/x
  3. Step 3: Cross multiply
    292,737.91x = 403,968.03 × 165,410.77
  4. Step 4: Simplify right side
    292,737.91x = 66,820,662,897.68
  5. Step 5: Solve for x
    x = 66,820,662,897.68/292,737.91
  6. Step 6: Final answer
    x = 228,261.05

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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.