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Finding the Fourth Proportional to 578,114.40, 866,005.20 and 400,821.60

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Solution

The fourth proportional to 578,114.40, 866,005.20 and 400,821.60 is: 600,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,114.40 : 866,005.20 = 400,821.60 : x
  2. Step 2: Convert to fraction form
    578,114.40/866,005.20 = 400,821.60/x
  3. Step 3: Cross multiply
    578,114.40x = 866,005.20 × 400,821.60
  4. Step 4: Simplify right side
    578,114.40x = 347,113,589,872.32
  5. Step 5: Solve for x
    x = 347,113,589,872.32/578,114.40
  6. Step 6: Final answer
    x = 600,423.70

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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.