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Finding the Fourth Proportional to 514,355.30, 711,164.77 and 450,509.90

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Solution

The fourth proportional to 514,355.30, 711,164.77 and 450,509.90 is: 622,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,355.30 : 711,164.77 = 450,509.90 : x
  2. Step 2: Convert to fraction form
    514,355.30/711,164.77 = 450,509.90/x
  3. Step 3: Cross multiply
    514,355.30x = 711,164.77 × 450,509.90
  4. Step 4: Simplify right side
    514,355.30x = 320,386,769,416.22
  5. Step 5: Solve for x
    x = 320,386,769,416.22/514,355.30
  6. Step 6: Final answer
    x = 622,889.99

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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.