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Finding the Fourth Proportional to 412,563, 569,336.94 and 233,715

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Solution

The fourth proportional to 412,563, 569,336.94 and 233,715 is: 322,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,563 : 569,336.94 = 233,715 : x
  2. Step 2: Convert to fraction form
    412,563/569,336.94 = 233,715/x
  3. Step 3: Cross multiply
    412,563x = 569,336.94 × 233,715
  4. Step 4: Simplify right side
    412,563x = 133,062,582,932.10
  5. Step 5: Solve for x
    x = 133,062,582,932.10/412,563
  6. Step 6: Final answer
    x = 322,526.70

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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.