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Finding the Fourth Proportional to 438,217, 604,739.51 and 237,013

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Solution

The fourth proportional to 438,217, 604,739.51 and 237,013 is: 327,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,217 : 604,739.51 = 237,013 : x
  2. Step 2: Convert to fraction form
    438,217/604,739.51 = 237,013/x
  3. Step 3: Cross multiply
    438,217x = 604,739.51 × 237,013
  4. Step 4: Simplify right side
    438,217x = 143,331,124,298.57
  5. Step 5: Solve for x
    x = 143,331,124,298.57/438,217
  6. Step 6: Final answer
    x = 327,077.96

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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.