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Finding the Fourth Proportional to 535,135.38, 738,466.83 and 293,412.30

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Solution

The fourth proportional to 535,135.38, 738,466.83 and 293,412.30 is: 404,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,135.38 : 738,466.83 = 293,412.30 : x
  2. Step 2: Convert to fraction form
    535,135.38/738,466.83 = 293,412.30/x
  3. Step 3: Cross multiply
    535,135.38x = 738,466.83 × 293,412.30
  4. Step 4: Simplify right side
    535,135.38x = 216,675,251,064.01
  5. Step 5: Solve for x
    x = 216,675,251,064.01/535,135.38
  6. Step 6: Final answer
    x = 404,898.01

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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.