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Finding the Fourth Proportional to 406,058.77, 608,877.90 and 216,468.22

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Solution

The fourth proportional to 406,058.77, 608,877.90 and 216,468.22 is: 324,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,058.77 : 608,877.90 = 216,468.22 : x
  2. Step 2: Convert to fraction form
    406,058.77/608,877.90 = 216,468.22/x
  3. Step 3: Cross multiply
    406,058.77x = 608,877.90 × 216,468.22
  4. Step 4: Simplify right side
    406,058.77x = 131,802,711,083.61
  5. Step 5: Solve for x
    x = 131,802,711,083.61/406,058.77
  6. Step 6: Final answer
    x = 324,590.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.