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Finding the Fourth Proportional to 412,465.96, 569,204.10 and 233,617.96

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Solution

The fourth proportional to 412,465.96, 569,204.10 and 233,617.96 is: 322,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,465.96 : 569,204.10 = 233,617.96 : x
  2. Step 2: Convert to fraction form
    412,465.96/569,204.10 = 233,617.96/x
  3. Step 3: Cross multiply
    412,465.96x = 569,204.10 × 233,617.96
  4. Step 4: Simplify right side
    412,465.96x = 132,976,300,665.64
  5. Step 5: Solve for x
    x = 132,976,300,665.64/412,465.96
  6. Step 6: Final answer
    x = 322,393.39

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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.