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Finding the Fourth Proportional to 531,212, 733,072.58 and 292,748

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Solution

The fourth proportional to 531,212, 733,072.58 and 292,748 is: 403,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,212 : 733,072.58 = 292,748 : x
  2. Step 2: Convert to fraction form
    531,212/733,072.58 = 292,748/x
  3. Step 3: Cross multiply
    531,212x = 733,072.58 × 292,748
  4. Step 4: Simplify right side
    531,212x = 214,605,530,186.10
  5. Step 5: Solve for x
    x = 214,605,530,186.10/531,212
  6. Step 6: Final answer
    x = 403,992.25

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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.