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Finding the Fourth Proportional to 412,563.50, 569,337.63 and 233,715.50

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Solution

The fourth proportional to 412,563.50, 569,337.63 and 233,715.50 is: 322,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,563.50 : 569,337.63 = 233,715.50 : x
  2. Step 2: Convert to fraction form
    412,563.50/569,337.63 = 233,715.50/x
  3. Step 3: Cross multiply
    412,563.50x = 569,337.63 × 233,715.50
  4. Step 4: Simplify right side
    412,563.50x = 133,063,028,864.27
  5. Step 5: Solve for x
    x = 133,063,028,864.27/412,563.50
  6. Step 6: Final answer
    x = 322,527.39

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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.