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Finding the Fourth Proportional to 409,582.80, 614,193.84 and 207,054.24

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Solution

The fourth proportional to 409,582.80, 614,193.84 and 207,054.24 is: 310,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,582.80 : 614,193.84 = 207,054.24 : x
  2. Step 2: Convert to fraction form
    409,582.80/614,193.84 = 207,054.24/x
  3. Step 3: Cross multiply
    409,582.80x = 614,193.84 × 207,054.24
  4. Step 4: Simplify right side
    409,582.80x = 127,171,438,753.88
  5. Step 5: Solve for x
    x = 127,171,438,753.88/409,582.80
  6. Step 6: Final answer
    x = 310,490.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.