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Finding the Fourth Proportional to 462,262.35, 637,909.82 and 258,314.95

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Solution

The fourth proportional to 462,262.35, 637,909.82 and 258,314.95 is: 356,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,262.35 : 637,909.82 = 258,314.95 : x
  2. Step 2: Convert to fraction form
    462,262.35/637,909.82 = 258,314.95/x
  3. Step 3: Cross multiply
    462,262.35x = 637,909.82 × 258,314.95
  4. Step 4: Simplify right side
    462,262.35x = 164,781,643,257.81
  5. Step 5: Solve for x
    x = 164,781,643,257.81/462,262.35
  6. Step 6: Final answer
    x = 356,467.80

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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.