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Finding the Fourth Proportional to 292,400.82, 403,490.61 and 165,088.98

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Solution

The fourth proportional to 292,400.82, 403,490.61 and 165,088.98 is: 227,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,400.82 : 403,490.61 = 165,088.98 : x
  2. Step 2: Convert to fraction form
    292,400.82/403,490.61 = 165,088.98/x
  3. Step 3: Cross multiply
    292,400.82x = 403,490.61 × 165,088.98
  4. Step 4: Simplify right side
    292,400.82x = 66,611,853,244.48
  5. Step 5: Solve for x
    x = 66,611,853,244.48/292,400.82
  6. Step 6: Final answer
    x = 227,810.08

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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.