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Finding the Fourth Proportional to 472,195.98, 651,631.32 and 257,335.97

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Solution

The fourth proportional to 472,195.98, 651,631.32 and 257,335.97 is: 355,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,195.98 : 651,631.32 = 257,335.97 : x
  2. Step 2: Convert to fraction form
    472,195.98/651,631.32 = 257,335.97/x
  3. Step 3: Cross multiply
    472,195.98x = 651,631.32 × 257,335.97
  4. Step 4: Simplify right side
    472,195.98x = 167,688,174,556.42
  5. Step 5: Solve for x
    x = 167,688,174,556.42/472,195.98
  6. Step 6: Final answer
    x = 355,124.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.