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Finding the Fourth Proportional to 513,362.16, 708,527.34 and 298,626.84

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Solution

The fourth proportional to 513,362.16, 708,527.34 and 298,626.84 is: 412,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,362.16 : 708,527.34 = 298,626.84 : x
  2. Step 2: Convert to fraction form
    513,362.16/708,527.34 = 298,626.84/x
  3. Step 3: Cross multiply
    513,362.16x = 708,527.34 × 298,626.84
  4. Step 4: Simplify right side
    513,362.16x = 211,585,280,597.81
  5. Step 5: Solve for x
    x = 211,585,280,597.81/513,362.16
  6. Step 6: Final answer
    x = 412,155.97

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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.