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Finding the Fourth Proportional to 513,308.35, 708,370.01 and 283,853.71

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Solution

The fourth proportional to 513,308.35, 708,370.01 and 283,853.71 is: 391,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,308.35 : 708,370.01 = 283,853.71 : x
  2. Step 2: Convert to fraction form
    513,308.35/708,370.01 = 283,853.71/x
  3. Step 3: Cross multiply
    513,308.35x = 708,370.01 × 283,853.71
  4. Step 4: Simplify right side
    513,308.35x = 201,073,455,391.24
  5. Step 5: Solve for x
    x = 201,073,455,391.24/513,308.35
  6. Step 6: Final answer
    x = 391,720.60

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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.