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Finding the Fourth Proportional to 343,714.40, 516,033.30 and 201,705.20

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Solution

The fourth proportional to 343,714.40, 516,033.30 and 201,705.20 is: 302,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,714.40 : 516,033.30 = 201,705.20 : x
  2. Step 2: Convert to fraction form
    343,714.40/516,033.30 = 201,705.20/x
  3. Step 3: Cross multiply
    343,714.40x = 516,033.30 × 201,705.20
  4. Step 4: Simplify right side
    343,714.40x = 104,086,599,983.16
  5. Step 5: Solve for x
    x = 104,086,599,983.16/343,714.40
  6. Step 6: Final answer
    x = 302,828.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.