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Finding the Fourth Proportional to 432,616.68, 648,465.48 and 255,207.24

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Solution

The fourth proportional to 432,616.68, 648,465.48 and 255,207.24 is: 382,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,616.68 : 648,465.48 = 255,207.24 : x
  2. Step 2: Convert to fraction form
    432,616.68/648,465.48 = 255,207.24/x
  3. Step 3: Cross multiply
    432,616.68x = 648,465.48 × 255,207.24
  4. Step 4: Simplify right side
    432,616.68x = 165,493,085,386.08
  5. Step 5: Solve for x
    x = 165,493,085,386.08/432,616.68
  6. Step 6: Final answer
    x = 382,539.77

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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.