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Finding the Fourth Proportional to 513,324.16, 708,375.03 and 298,538.89

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Solution

The fourth proportional to 513,324.16, 708,375.03 and 298,538.89 is: 411,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,324.16 : 708,375.03 = 298,538.89 : x
  2. Step 2: Convert to fraction form
    513,324.16/708,375.03 = 298,538.89/x
  3. Step 3: Cross multiply
    513,324.16x = 708,375.03 × 298,538.89
  4. Step 4: Simplify right side
    513,324.16x = 211,477,495,159.92
  5. Step 5: Solve for x
    x = 211,477,495,159.92/513,324.16
  6. Step 6: Final answer
    x = 411,976.51

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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.