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Finding the Fourth Proportional to 594,298.62, 820,116.09 and 361,638.27

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Solution

The fourth proportional to 594,298.62, 820,116.09 and 361,638.27 is: 499,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,298.62 : 820,116.09 = 361,638.27 : x
  2. Step 2: Convert to fraction form
    594,298.62/820,116.09 = 361,638.27/x
  3. Step 3: Cross multiply
    594,298.62x = 820,116.09 × 361,638.27
  4. Step 4: Simplify right side
    594,298.62x = 296,585,363,986.76
  5. Step 5: Solve for x
    x = 296,585,363,986.76/594,298.62
  6. Step 6: Final answer
    x = 499,051.07

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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.