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Finding the Fourth Proportional to 347,301.12, 520,993.80 and 97,983.12

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Solution

The fourth proportional to 347,301.12, 520,993.80 and 97,983.12 is: 146,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,301.12 : 520,993.80 = 97,983.12 : x
  2. Step 2: Convert to fraction form
    347,301.12/520,993.80 = 97,983.12/x
  3. Step 3: Cross multiply
    347,301.12x = 520,993.80 × 97,983.12
  4. Step 4: Simplify right side
    347,301.12x = 51,048,598,024.66
  5. Step 5: Solve for x
    x = 51,048,598,024.66/347,301.12
  6. Step 6: Final answer
    x = 146,986.56

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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.