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Finding the Fourth Proportional to 513,242.21, 708,212.40 and 283,768.53

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Solution

The fourth proportional to 513,242.21, 708,212.40 and 283,768.53 is: 391,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,242.21 : 708,212.40 = 283,768.53 : x
  2. Step 2: Convert to fraction form
    513,242.21/708,212.40 = 283,768.53/x
  3. Step 3: Cross multiply
    513,242.21x = 708,212.40 × 283,768.53
  4. Step 4: Simplify right side
    513,242.21x = 200,968,391,675.77
  5. Step 5: Solve for x
    x = 200,968,391,675.77/513,242.21
  6. Step 6: Final answer
    x = 391,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.