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Finding the Fourth Proportional to 293,116.40, 404,502.36 and 165,784.40

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Solution

The fourth proportional to 293,116.40, 404,502.36 and 165,784.40 is: 228,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,116.40 : 404,502.36 = 165,784.40 : x
  2. Step 2: Convert to fraction form
    293,116.40/404,502.36 = 165,784.40/x
  3. Step 3: Cross multiply
    293,116.40x = 404,502.36 × 165,784.40
  4. Step 4: Simplify right side
    293,116.40x = 67,060,181,051.18
  5. Step 5: Solve for x
    x = 67,060,181,051.18/293,116.40
  6. Step 6: Final answer
    x = 228,783.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.