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Finding the Fourth Proportional to 413,621.68, 620,238.72 and 173,684.32

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Solution

The fourth proportional to 413,621.68, 620,238.72 and 173,684.32 is: 260,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,621.68 : 620,238.72 = 173,684.32 : x
  2. Step 2: Convert to fraction form
    413,621.68/620,238.72 = 173,684.32/x
  3. Step 3: Cross multiply
    413,621.68x = 620,238.72 × 173,684.32
  4. Step 4: Simplify right side
    413,621.68x = 107,725,740,320.87
  5. Step 5: Solve for x
    x = 107,725,740,320.87/413,621.68
  6. Step 6: Final answer
    x = 260,445.10

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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.