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Finding the Fourth Proportional to 416,106.32, 624,356.86 and 288,219.21

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Solution

The fourth proportional to 416,106.32, 624,356.86 and 288,219.21 is: 432,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,106.32 : 624,356.86 = 288,219.21 : x
  2. Step 2: Convert to fraction form
    416,106.32/624,356.86 = 288,219.21/x
  3. Step 3: Cross multiply
    416,106.32x = 624,356.86 × 288,219.21
  4. Step 4: Simplify right side
    416,106.32x = 179,951,641,937.81
  5. Step 5: Solve for x
    x = 179,951,641,937.81/416,106.32
  6. Step 6: Final answer
    x = 432,465.54

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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.