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Finding the Fourth Proportional to 513,285.67, 708,378.03 and 298,412.11

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Solution

The fourth proportional to 513,285.67, 708,378.03 and 298,412.11 is: 411,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,285.67 : 708,378.03 = 298,412.11 : x
  2. Step 2: Convert to fraction form
    513,285.67/708,378.03 = 298,412.11/x
  3. Step 3: Cross multiply
    513,285.67x = 708,378.03 × 298,412.11
  4. Step 4: Simplify right side
    513,285.67x = 211,388,577,575.99
  5. Step 5: Solve for x
    x = 211,388,577,575.99/513,285.67
  6. Step 6: Final answer
    x = 411,834.17

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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.