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Finding the Fourth Proportional to 515,210, 710,855.24 and 297,365.36

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Solution

The fourth proportional to 515,210, 710,855.24 and 297,365.36 is: 410,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,210 : 710,855.24 = 297,365.36 : x
  2. Step 2: Convert to fraction form
    515,210/710,855.24 = 297,365.36/x
  3. Step 3: Cross multiply
    515,210x = 710,855.24 × 297,365.36
  4. Step 4: Simplify right side
    515,210x = 211,383,724,350.49
  5. Step 5: Solve for x
    x = 211,383,724,350.49/515,210
  6. Step 6: Final answer
    x = 410,286.53

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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.