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Finding the Fourth Proportional to 531,202, 733,058.76 and 292,738

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Solution

The fourth proportional to 531,202, 733,058.76 and 292,738 is: 403,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,202 : 733,058.76 = 292,738 : x
  2. Step 2: Convert to fraction form
    531,202/733,058.76 = 292,738/x
  3. Step 3: Cross multiply
    531,202x = 733,058.76 × 292,738
  4. Step 4: Simplify right side
    531,202x = 214,594,155,284.88
  5. Step 5: Solve for x
    x = 214,594,155,284.88/531,202
  6. Step 6: Final answer
    x = 403,978.44

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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.