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Finding the Fourth Proportional to 532,851.40, 733,838.10 and 521,239.24

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Solution

The fourth proportional to 532,851.40, 733,838.10 and 521,239.24 is: 717,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,851.40 : 733,838.10 = 521,239.24 : x
  2. Step 2: Convert to fraction form
    532,851.40/733,838.10 = 521,239.24/x
  3. Step 3: Cross multiply
    532,851.40x = 733,838.10 × 521,239.24
  4. Step 4: Simplify right side
    532,851.40x = 382,505,213,527.04
  5. Step 5: Solve for x
    x = 382,505,213,527.04/532,851.40
  6. Step 6: Final answer
    x = 717,845.94

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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.