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Finding the Fourth Proportional to 343,714.32, 474,627.06 and 214,873.02

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Solution

The fourth proportional to 343,714.32, 474,627.06 and 214,873.02 is: 296,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,714.32 : 474,627.06 = 214,873.02 : x
  2. Step 2: Convert to fraction form
    343,714.32/474,627.06 = 214,873.02/x
  3. Step 3: Cross multiply
    343,714.32x = 474,627.06 × 214,873.02
  4. Step 4: Simplify right side
    343,714.32x = 101,984,549,755.92
  5. Step 5: Solve for x
    x = 101,984,549,755.92/343,714.32
  6. Step 6: Final answer
    x = 296,713.12

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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.