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Finding the Fourth Proportional to 383,963.09, 575,967.11 and 117,726.21

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Solution

The fourth proportional to 383,963.09, 575,967.11 and 117,726.21 is: 176,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,963.09 : 575,967.11 = 117,726.21 : x
  2. Step 2: Convert to fraction form
    383,963.09/575,967.11 = 117,726.21/x
  3. Step 3: Cross multiply
    383,963.09x = 575,967.11 × 117,726.21
  4. Step 4: Simplify right side
    383,963.09x = 67,806,424,356.32
  5. Step 5: Solve for x
    x = 67,806,424,356.32/383,963.09
  6. Step 6: Final answer
    x = 176,596.21

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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.