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Finding the Fourth Proportional to 347,297.40, 520,946.10 and 197,998.20

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Solution

The fourth proportional to 347,297.40, 520,946.10 and 197,998.20 is: 296,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,297.40 : 520,946.10 = 197,998.20 : x
  2. Step 2: Convert to fraction form
    347,297.40/520,946.10 = 197,998.20/x
  3. Step 3: Cross multiply
    347,297.40x = 520,946.10 × 197,998.20
  4. Step 4: Simplify right side
    347,297.40x = 103,146,390,097.02
  5. Step 5: Solve for x
    x = 103,146,390,097.02/347,297.40
  6. Step 6: Final answer
    x = 296,997.30

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1.5x scale

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.