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Finding the Fourth Proportional to 535,283.69, 738,700.97 and 293,564.15

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Solution

The fourth proportional to 535,283.69, 738,700.97 and 293,564.15 is: 405,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,283.69 : 738,700.97 = 293,564.15 : x
  2. Step 2: Convert to fraction form
    535,283.69/738,700.97 = 293,564.15/x
  3. Step 3: Cross multiply
    535,283.69x = 738,700.97 × 293,564.15
  4. Step 4: Simplify right side
    535,283.69x = 216,856,122,362.23
  5. Step 5: Solve for x
    x = 216,856,122,362.23/535,283.69
  6. Step 6: Final answer
    x = 405,123.72

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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.