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Finding the Fourth Proportional to 383,465.76, 575,200 and 117,225.28

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Solution

The fourth proportional to 383,465.76, 575,200 and 117,225.28 is: 175,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,465.76 : 575,200 = 117,225.28 : x
  2. Step 2: Convert to fraction form
    383,465.76/575,200 = 117,225.28/x
  3. Step 3: Cross multiply
    383,465.76x = 575,200 × 117,225.28
  4. Step 4: Simplify right side
    383,465.76x = 67,427,981,056
  5. Step 5: Solve for x
    x = 67,427,981,056/383,465.76
  6. Step 6: Final answer
    x = 175,838.34

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