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Finding the Fourth Proportional to 416,230.35, 624,275.18 and 116,642.03

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Solution

The fourth proportional to 416,230.35, 624,275.18 and 116,642.03 is: 174,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.35 : 624,275.18 = 116,642.03 : x
  2. Step 2: Convert to fraction form
    416,230.35/624,275.18 = 116,642.03/x
  3. Step 3: Cross multiply
    416,230.35x = 624,275.18 × 116,642.03
  4. Step 4: Simplify right side
    416,230.35x = 72,816,720,569.23
  5. Step 5: Solve for x
    x = 72,816,720,569.23/416,230.35
  6. Step 6: Final answer
    x = 174,943.32

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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.