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Finding the Fourth Proportional to 614,643.59, 847,892.00 and 410,629.30

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Solution

The fourth proportional to 614,643.59, 847,892.00 and 410,629.30 is: 566,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,643.59 : 847,892.00 = 410,629.30 : x
  2. Step 2: Convert to fraction form
    614,643.59/847,892.00 = 410,629.30/x
  3. Step 3: Cross multiply
    614,643.59x = 847,892.00 × 410,629.30
  4. Step 4: Simplify right side
    614,643.59x = 348,169,297,342.44
  5. Step 5: Solve for x
    x = 348,169,297,342.44/614,643.59
  6. Step 6: Final answer
    x = 566,457.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.