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Finding the Fourth Proportional to 521,032, 719,024.16 and 294,672.64

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Solution

The fourth proportional to 521,032, 719,024.16 and 294,672.64 is: 406,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,032 : 719,024.16 = 294,672.64 : x
  2. Step 2: Convert to fraction form
    521,032/719,024.16 = 294,672.64/x
  3. Step 3: Cross multiply
    521,032x = 719,024.16 × 294,672.64
  4. Step 4: Simplify right side
    521,032x = 211,876,747,450.98
  5. Step 5: Solve for x
    x = 211,876,747,450.98/521,032
  6. Step 6: Final answer
    x = 406,648.24

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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.