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Finding the Fourth Proportional to 463,532.20, 695,298.30 and 214,700.20

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Solution

The fourth proportional to 463,532.20, 695,298.30 and 214,700.20 is: 322,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,532.20 : 695,298.30 = 214,700.20 : x
  2. Step 2: Convert to fraction form
    463,532.20/695,298.30 = 214,700.20/x
  3. Step 3: Cross multiply
    463,532.20x = 695,298.30 × 214,700.20
  4. Step 4: Simplify right side
    463,532.20x = 149,280,684,069.66
  5. Step 5: Solve for x
    x = 149,280,684,069.66/463,532.20
  6. Step 6: Final answer
    x = 322,050.30

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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.