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Finding the Fourth Proportional to 472,968.01, 652,709.61 and 258,121.90

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Solution

The fourth proportional to 472,968.01, 652,709.61 and 258,121.90 is: 356,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968.01 : 652,709.61 = 258,121.90 : x
  2. Step 2: Convert to fraction form
    472,968.01/652,709.61 = 258,121.90/x
  3. Step 3: Cross multiply
    472,968.01x = 652,709.61 × 258,121.90
  4. Step 4: Simplify right side
    472,968.01x = 168,478,644,681.46
  5. Step 5: Solve for x
    x = 168,478,644,681.46/472,968.01
  6. Step 6: Final answer
    x = 356,215.73

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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.