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Finding the Fourth Proportional to 416,106.93, 624,357.84 and 288,219.87

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Solution

The fourth proportional to 416,106.93, 624,357.84 and 288,219.87 is: 432,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,106.93 : 624,357.84 = 288,219.87 : x
  2. Step 2: Convert to fraction form
    416,106.93/624,357.84 = 288,219.87/x
  3. Step 3: Cross multiply
    416,106.93x = 624,357.84 × 288,219.87
  4. Step 4: Simplify right side
    416,106.93x = 179,952,335,478.28
  5. Step 5: Solve for x
    x = 179,952,335,478.28/416,106.93
  6. Step 6: Final answer
    x = 432,466.57

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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.