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Finding the Fourth Proportional to 535,059.36, 738,390.24 and 293,364

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Solution

The fourth proportional to 535,059.36, 738,390.24 and 293,364 is: 404,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,059.36 : 738,390.24 = 293,364 : x
  2. Step 2: Convert to fraction form
    535,059.36/738,390.24 = 293,364/x
  3. Step 3: Cross multiply
    535,059.36x = 738,390.24 × 293,364
  4. Step 4: Simplify right side
    535,059.36x = 216,617,114,367.36
  5. Step 5: Solve for x
    x = 216,617,114,367.36/535,059.36
  6. Step 6: Final answer
    x = 404,846.88

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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.