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Finding the Fourth Proportional to 513,766.86, 709,140.88 and 298,948.56

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Solution

The fourth proportional to 513,766.86, 709,140.88 and 298,948.56 is: 412,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,766.86 : 709,140.88 = 298,948.56 : x
  2. Step 2: Convert to fraction form
    513,766.86/709,140.88 = 298,948.56/x
  3. Step 3: Cross multiply
    513,766.86x = 709,140.88 × 298,948.56
  4. Step 4: Simplify right side
    513,766.86x = 211,996,644,913.13
  5. Step 5: Solve for x
    x = 211,996,644,913.13/513,766.86
  6. Step 6: Final answer
    x = 412,632.00

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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.