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Finding the Fourth Proportional to 408,582.98, 563,862.72 and 340,485.96

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Solution

The fourth proportional to 408,582.98, 563,862.72 and 340,485.96 is: 469,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,582.98 : 563,862.72 = 340,485.96 : x
  2. Step 2: Convert to fraction form
    408,582.98/563,862.72 = 340,485.96/x
  3. Step 3: Cross multiply
    408,582.98x = 563,862.72 × 340,485.96
  4. Step 4: Simplify right side
    408,582.98x = 191,987,339,527.41
  5. Step 5: Solve for x
    x = 191,987,339,527.41/408,582.98
  6. Step 6: Final answer
    x = 469,885.80

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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.