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Finding the Fourth Proportional to 412,578.77, 569,342.45 and 233,730.77

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Solution

The fourth proportional to 412,578.77, 569,342.45 and 233,730.77 is: 322,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,578.77 : 569,342.45 = 233,730.77 : x
  2. Step 2: Convert to fraction form
    412,578.77/569,342.45 = 233,730.77/x
  3. Step 3: Cross multiply
    412,578.77x = 569,342.45 × 233,730.77
  4. Step 4: Simplify right side
    412,578.77x = 133,072,846,969.80
  5. Step 5: Solve for x
    x = 133,072,846,969.80/412,578.77
  6. Step 6: Final answer
    x = 322,539.25

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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.