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Finding the Fourth Proportional to 531,304.64, 733,193.95 and 289,586.47

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Solution

The fourth proportional to 531,304.64, 733,193.95 and 289,586.47 is: 399,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,304.64 : 733,193.95 = 289,586.47 : x
  2. Step 2: Convert to fraction form
    531,304.64/733,193.95 = 289,586.47/x
  3. Step 3: Cross multiply
    531,304.64x = 733,193.95 × 289,586.47
  4. Step 4: Simplify right side
    531,304.64x = 212,323,047,805.86
  5. Step 5: Solve for x
    x = 212,323,047,805.86/531,304.64
  6. Step 6: Final answer
    x = 399,625.81

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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.