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Finding the Fourth Proportional to 535,323.84, 738,744.68 and 293,600

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Solution

The fourth proportional to 535,323.84, 738,744.68 and 293,600 is: 405,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,323.84 : 738,744.68 = 293,600 : x
  2. Step 2: Convert to fraction form
    535,323.84/738,744.68 = 293,600/x
  3. Step 3: Cross multiply
    535,323.84x = 738,744.68 × 293,600
  4. Step 4: Simplify right side
    535,323.84x = 216,895,438,048
  5. Step 5: Solve for x
    x = 216,895,438,048/535,323.84
  6. Step 6: Final answer
    x = 405,166.78

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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.