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Finding the Fourth Proportional to 505,545.06, 697,331.81 and 384,420.80

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Solution

The fourth proportional to 505,545.06, 697,331.81 and 384,420.80 is: 530,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,545.06 : 697,331.81 = 384,420.80 : x
  2. Step 2: Convert to fraction form
    505,545.06/697,331.81 = 384,420.80/x
  3. Step 3: Cross multiply
    505,545.06x = 697,331.81 × 384,420.80
  4. Step 4: Simplify right side
    505,545.06x = 268,068,850,343.54
  5. Step 5: Solve for x
    x = 268,068,850,343.54/505,545.06
  6. Step 6: Final answer
    x = 530,257.09

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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.