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Finding the Fourth Proportional to 462,821.40, 694,232.10 and 456,600.60

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Solution

The fourth proportional to 462,821.40, 694,232.10 and 456,600.60 is: 684,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,821.40 : 694,232.10 = 456,600.60 : x
  2. Step 2: Convert to fraction form
    462,821.40/694,232.10 = 456,600.60/x
  3. Step 3: Cross multiply
    462,821.40x = 694,232.10 × 456,600.60
  4. Step 4: Simplify right side
    462,821.40x = 316,986,793,399.26
  5. Step 5: Solve for x
    x = 316,986,793,399.26/462,821.40
  6. Step 6: Final answer
    x = 684,900.90

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Similar ratio
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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.