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Finding the Fourth Proportional to 413,712.70, 620,569.05 and 384,188.20

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Solution

The fourth proportional to 413,712.70, 620,569.05 and 384,188.20 is: 576,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,712.70 : 620,569.05 = 384,188.20 : x
  2. Step 2: Convert to fraction form
    413,712.70/620,569.05 = 384,188.20/x
  3. Step 3: Cross multiply
    413,712.70x = 620,569.05 × 384,188.20
  4. Step 4: Simplify right side
    413,712.70x = 238,415,306,295.21
  5. Step 5: Solve for x
    x = 238,415,306,295.21/413,712.70
  6. Step 6: Final answer
    x = 576,282.30

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1.5x scale

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.