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Finding the Fourth Proportional to 596,213.28, 822,502.92 and 354,358.43

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Solution

The fourth proportional to 596,213.28, 822,502.92 and 354,358.43 is: 488,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,213.28 : 822,502.92 = 354,358.43 : x
  2. Step 2: Convert to fraction form
    596,213.28/822,502.92 = 354,358.43/x
  3. Step 3: Cross multiply
    596,213.28x = 822,502.92 × 354,358.43
  4. Step 4: Simplify right side
    596,213.28x = 291,460,839,289.10
  5. Step 5: Solve for x
    x = 291,460,839,289.10/596,213.28
  6. Step 6: Final answer
    x = 488,853.32

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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.