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Finding the Fourth Proportional to 560,270.94, 840,653.10 and 293,967.24

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Solution

The fourth proportional to 560,270.94, 840,653.10 and 293,967.24 is: 441,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,270.94 : 840,653.10 = 293,967.24 : x
  2. Step 2: Convert to fraction form
    560,270.94/840,653.10 = 293,967.24/x
  3. Step 3: Cross multiply
    560,270.94x = 840,653.10 × 293,967.24
  4. Step 4: Simplify right side
    560,270.94x = 247,124,471,604.44
  5. Step 5: Solve for x
    x = 247,124,471,604.44/560,270.94
  6. Step 6: Final answer
    x = 441,080.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.