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Finding the Fourth Proportional to 495,213.96, 684,036.32 and 409,519.09

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Solution

The fourth proportional to 495,213.96, 684,036.32 and 409,519.09 is: 565,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,213.96 : 684,036.32 = 409,519.09 : x
  2. Step 2: Convert to fraction form
    495,213.96/684,036.32 = 409,519.09/x
  3. Step 3: Cross multiply
    495,213.96x = 684,036.32 × 409,519.09
  4. Step 4: Simplify right side
    495,213.96x = 280,125,932,404.34
  5. Step 5: Solve for x
    x = 280,125,932,404.34/495,213.96
  6. Step 6: Final answer
    x = 565,666.47

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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.