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Finding the Fourth Proportional to 393,006.29, 589,633.98 and 140,281.18

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Solution

The fourth proportional to 393,006.29, 589,633.98 and 140,281.18 is: 210,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,006.29 : 589,633.98 = 140,281.18 : x
  2. Step 2: Convert to fraction form
    393,006.29/589,633.98 = 140,281.18/x
  3. Step 3: Cross multiply
    393,006.29x = 589,633.98 × 140,281.18
  4. Step 4: Simplify right side
    393,006.29x = 82,714,550,482.50
  5. Step 5: Solve for x
    x = 82,714,550,482.50/393,006.29
  6. Step 6: Final answer
    x = 210,466.23

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