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Finding the Fourth Proportional to 567,232.29, 782,770.41 and 309,111.48

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Solution

The fourth proportional to 567,232.29, 782,770.41 and 309,111.48 is: 426,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,232.29 : 782,770.41 = 309,111.48 : x
  2. Step 2: Convert to fraction form
    567,232.29/782,770.41 = 309,111.48/x
  3. Step 3: Cross multiply
    567,232.29x = 782,770.41 × 309,111.48
  4. Step 4: Simplify right side
    567,232.29x = 241,963,319,935.31
  5. Step 5: Solve for x
    x = 241,963,319,935.31/567,232.29
  6. Step 6: Final answer
    x = 426,568.31

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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.