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Finding the Fourth Proportional to 406,714.08, 561,137.10 and 234,608.94

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Solution

The fourth proportional to 406,714.08, 561,137.10 and 234,608.94 is: 323,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,714.08 : 561,137.10 = 234,608.94 : x
  2. Step 2: Convert to fraction form
    406,714.08/561,137.10 = 234,608.94/x
  3. Step 3: Cross multiply
    406,714.08x = 561,137.10 × 234,608.94
  4. Step 4: Simplify right side
    406,714.08x = 131,647,780,225.67
  5. Step 5: Solve for x
    x = 131,647,780,225.67/406,714.08
  6. Step 6: Final answer
    x = 323,686.31

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1.5x scale

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.