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Finding the Fourth Proportional to 412,717, 569,549.46 and 243,055.48

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Solution

The fourth proportional to 412,717, 569,549.46 and 243,055.48 is: 335,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,717 : 569,549.46 = 243,055.48 : x
  2. Step 2: Convert to fraction form
    412,717/569,549.46 = 243,055.48/x
  3. Step 3: Cross multiply
    412,717x = 569,549.46 × 243,055.48
  4. Step 4: Simplify right side
    412,717x = 138,432,117,384.04
  5. Step 5: Solve for x
    x = 138,432,117,384.04/412,717
  6. Step 6: Final answer
    x = 335,416.56

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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.