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Finding the Fourth Proportional to 508,297.88, 761,960.82 and 188,364.08

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Solution

The fourth proportional to 508,297.88, 761,960.82 and 188,364.08 is: 282,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,297.88 : 761,960.82 = 188,364.08 : x
  2. Step 2: Convert to fraction form
    508,297.88/761,960.82 = 188,364.08/x
  3. Step 3: Cross multiply
    508,297.88x = 761,960.82 × 188,364.08
  4. Step 4: Simplify right side
    508,297.88x = 143,526,051,466.61
  5. Step 5: Solve for x
    x = 143,526,051,466.61/508,297.88
  6. Step 6: Final answer
    x = 282,366.02

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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.