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Finding the Fourth Proportional to 383,814.16, 575,738.52 and 117,555.28

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Solution

The fourth proportional to 383,814.16, 575,738.52 and 117,555.28 is: 176,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,814.16 : 575,738.52 = 117,555.28 : x
  2. Step 2: Convert to fraction form
    383,814.16/575,738.52 = 117,555.28/x
  3. Step 3: Cross multiply
    383,814.16x = 575,738.52 × 117,555.28
  4. Step 4: Simplify right side
    383,814.16x = 67,681,102,925.39
  5. Step 5: Solve for x
    x = 67,681,102,925.39/383,814.16
  6. Step 6: Final answer
    x = 176,338.21

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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.