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Finding the Fourth Proportional to 416,520, 624,804.24 and 117,023.92

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Solution

The fourth proportional to 416,520, 624,804.24 and 117,023.92 is: 175,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,520 : 624,804.24 = 117,023.92 : x
  2. Step 2: Convert to fraction form
    416,520/624,804.24 = 117,023.92/x
  3. Step 3: Cross multiply
    416,520x = 624,804.24 × 117,023.92
  4. Step 4: Simplify right side
    416,520x = 73,117,041,397.42
  5. Step 5: Solve for x
    x = 73,117,041,397.42/416,520
  6. Step 6: Final answer
    x = 175,542.69

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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.