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Finding the Fourth Proportional to 382,584.60, 573,876.90 and 314,933.40

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Solution

The fourth proportional to 382,584.60, 573,876.90 and 314,933.40 is: 472,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,584.60 : 573,876.90 = 314,933.40 : x
  2. Step 2: Convert to fraction form
    382,584.60/573,876.90 = 314,933.40/x
  3. Step 3: Cross multiply
    382,584.60x = 573,876.90 × 314,933.40
  4. Step 4: Simplify right side
    382,584.60x = 180,733,003,298.46
  5. Step 5: Solve for x
    x = 180,733,003,298.46/382,584.60
  6. Step 6: Final answer
    x = 472,400.10

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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.