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Finding the Fourth Proportional to 342,956.21, 473,510.52 and 214,090.88

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Solution

The fourth proportional to 342,956.21, 473,510.52 and 214,090.88 is: 295,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,956.21 : 473,510.52 = 214,090.88 : x
  2. Step 2: Convert to fraction form
    342,956.21/473,510.52 = 214,090.88/x
  3. Step 3: Cross multiply
    342,956.21x = 473,510.52 × 214,090.88
  4. Step 4: Simplify right side
    342,956.21x = 101,374,281,548.51
  5. Step 5: Solve for x
    x = 101,374,281,548.51/342,956.21
  6. Step 6: Final answer
    x = 295,589.58

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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.