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Finding the Fourth Proportional to 513,204.81, 708,210.07 and 283,756.05

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Solution

The fourth proportional to 513,204.81, 708,210.07 and 283,756.05 is: 391,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,204.81 : 708,210.07 = 283,756.05 : x
  2. Step 2: Convert to fraction form
    513,204.81/708,210.07 = 283,756.05/x
  3. Step 3: Cross multiply
    513,204.81x = 708,210.07 × 283,756.05
  4. Step 4: Simplify right side
    513,204.81x = 200,958,892,033.42
  5. Step 5: Solve for x
    x = 200,958,892,033.42/513,204.81
  6. Step 6: Final answer
    x = 391,576.40

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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.