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Finding the Fourth Proportional to 413,604.87, 570,762.28 and 229,842.82

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Solution

The fourth proportional to 413,604.87, 570,762.28 and 229,842.82 is: 317,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,604.87 : 570,762.28 = 229,842.82 : x
  2. Step 2: Convert to fraction form
    413,604.87/570,762.28 = 229,842.82/x
  3. Step 3: Cross multiply
    413,604.87x = 570,762.28 × 229,842.82
  4. Step 4: Simplify right side
    413,604.87x = 131,185,611,984.83
  5. Step 5: Solve for x
    x = 131,185,611,984.83/413,604.87
  6. Step 6: Final answer
    x = 317,176.18

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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.