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Finding the Fourth Proportional to 462,477.61, 638,221.66 and 258,537.12

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Solution

The fourth proportional to 462,477.61, 638,221.66 and 258,537.12 is: 356,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,477.61 : 638,221.66 = 258,537.12 : x
  2. Step 2: Convert to fraction form
    462,477.61/638,221.66 = 258,537.12/x
  3. Step 3: Cross multiply
    462,477.61x = 638,221.66 × 258,537.12
  4. Step 4: Simplify right side
    462,477.61x = 165,003,989,251.68
  5. Step 5: Solve for x
    x = 165,003,989,251.68/462,477.61
  6. Step 6: Final answer
    x = 356,782.66

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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.