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Finding the Fourth Proportional to 412,566, 569,341.08 and 233,718

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Solution

The fourth proportional to 412,566, 569,341.08 and 233,718 is: 322,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,566 : 569,341.08 = 233,718 : x
  2. Step 2: Convert to fraction form
    412,566/569,341.08 = 233,718/x
  3. Step 3: Cross multiply
    412,566x = 569,341.08 × 233,718
  4. Step 4: Simplify right side
    412,566x = 133,065,258,535.44
  5. Step 5: Solve for x
    x = 133,065,258,535.44/412,566
  6. Step 6: Final answer
    x = 322,530.84

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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.