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Finding the Fourth Proportional to 343,464.30, 474,215.31 and 214,598.97

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Solution

The fourth proportional to 343,464.30, 474,215.31 and 214,598.97 is: 296,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464.30 : 474,215.31 = 214,598.97 : x
  2. Step 2: Convert to fraction form
    343,464.30/474,215.31 = 214,598.97/x
  3. Step 3: Cross multiply
    343,464.30x = 474,215.31 × 214,598.97
  4. Step 4: Simplify right side
    343,464.30x = 101,766,117,084.23
  5. Step 5: Solve for x
    x = 101,766,117,084.23/343,464.30
  6. Step 6: Final answer
    x = 296,293.14

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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.