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Finding the Fourth Proportional to 560,078.15, 840,264.84 and 293,767.16

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Solution

The fourth proportional to 560,078.15, 840,264.84 and 293,767.16 is: 440,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,078.15 : 840,264.84 = 293,767.16 : x
  2. Step 2: Convert to fraction form
    560,078.15/840,264.84 = 293,767.16/x
  3. Step 3: Cross multiply
    560,078.15x = 840,264.84 × 293,767.16
  4. Step 4: Simplify right side
    560,078.15x = 246,842,211,493.33
  5. Step 5: Solve for x
    x = 246,842,211,493.33/560,078.15
  6. Step 6: Final answer
    x = 440,728.16

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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.