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Finding the Fourth Proportional to 416,356.54, 624,264.16 and 163,661.75

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Solution

The fourth proportional to 416,356.54, 624,264.16 and 163,661.75 is: 245,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,356.54 : 624,264.16 = 163,661.75 : x
  2. Step 2: Convert to fraction form
    416,356.54/624,264.16 = 163,661.75/x
  3. Step 3: Cross multiply
    416,356.54x = 624,264.16 × 163,661.75
  4. Step 4: Simplify right side
    416,356.54x = 102,168,164,887.88
  5. Step 5: Solve for x
    x = 102,168,164,887.88/416,356.54
  6. Step 6: Final answer
    x = 245,386.24

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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.