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Finding the Fourth Proportional to 214,709.12, 320,617.84 and 175,344.32

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Solution

The fourth proportional to 214,709.12, 320,617.84 and 175,344.32 is: 261,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.12 : 320,617.84 = 175,344.32 : x
  2. Step 2: Convert to fraction form
    214,709.12/320,617.84 = 175,344.32/x
  3. Step 3: Cross multiply
    214,709.12x = 320,617.84 × 175,344.32
  4. Step 4: Simplify right side
    214,709.12x = 56,218,517,134.67
  5. Step 5: Solve for x
    x = 56,218,517,134.67/214,709.12
  6. Step 6: Final answer
    x = 261,835.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.