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Finding the Fourth Proportional to 432,193.25, 649,709.71 and 400,980.51

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Solution

The fourth proportional to 432,193.25, 649,709.71 and 400,980.51 is: 602,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,193.25 : 649,709.71 = 400,980.51 : x
  2. Step 2: Convert to fraction form
    432,193.25/649,709.71 = 400,980.51/x
  3. Step 3: Cross multiply
    432,193.25x = 649,709.71 × 400,980.51
  4. Step 4: Simplify right side
    432,193.25x = 260,520,929,865.30
  5. Step 5: Solve for x
    x = 260,520,929,865.30/432,193.25
  6. Step 6: Final answer
    x = 602,788.05

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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.