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Finding the Fourth Proportional to 401,472.38, 602,017.88 and 233,044.37

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Solution

The fourth proportional to 401,472.38, 602,017.88 and 233,044.37 is: 349,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,472.38 : 602,017.88 = 233,044.37 : x
  2. Step 2: Convert to fraction form
    401,472.38/602,017.88 = 233,044.37/x
  3. Step 3: Cross multiply
    401,472.38x = 602,017.88 × 233,044.37
  4. Step 4: Simplify right side
    401,472.38x = 140,296,877,573.34
  5. Step 5: Solve for x
    x = 140,296,877,573.34/401,472.38
  6. Step 6: Final answer
    x = 349,455.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.