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Finding the Fourth Proportional to 412,561, 569,334.18 and 233,713

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Solution

The fourth proportional to 412,561, 569,334.18 and 233,713 is: 322,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,561 : 569,334.18 = 233,713 : x
  2. Step 2: Convert to fraction form
    412,561/569,334.18 = 233,713/x
  3. Step 3: Cross multiply
    412,561x = 569,334.18 × 233,713
  4. Step 4: Simplify right side
    412,561x = 133,060,799,210.34
  5. Step 5: Solve for x
    x = 133,060,799,210.34/412,561
  6. Step 6: Final answer
    x = 322,523.94

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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.