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Finding the Fourth Proportional to 462,293.96, 637,963.79 and 258,344.82

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Solution

The fourth proportional to 462,293.96, 637,963.79 and 258,344.82 is: 356,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,293.96 : 637,963.79 = 258,344.82 : x
  2. Step 2: Convert to fraction form
    462,293.96/637,963.79 = 258,344.82/x
  3. Step 3: Cross multiply
    462,293.96x = 637,963.79 × 258,344.82
  4. Step 4: Simplify right side
    462,293.96x = 164,814,639,202.34
  5. Step 5: Solve for x
    x = 164,814,639,202.34/462,293.96
  6. Step 6: Final answer
    x = 356,514.80

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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.