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Finding the Fourth Proportional to 531,208.53, 733,058.10 and 289,493.19

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Solution

The fourth proportional to 531,208.53, 733,058.10 and 289,493.19 is: 399,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,208.53 : 733,058.10 = 289,493.19 : x
  2. Step 2: Convert to fraction form
    531,208.53/733,058.10 = 289,493.19/x
  3. Step 3: Cross multiply
    531,208.53x = 733,058.10 × 289,493.19
  4. Step 4: Simplify right side
    531,208.53x = 212,215,327,824.34
  5. Step 5: Solve for x
    x = 212,215,327,824.34/531,208.53
  6. Step 6: Final answer
    x = 399,495.33

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1.5x scale

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.