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Finding the Fourth Proportional to 427,730.84, 590,416.12 and 246,515.16

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Solution

The fourth proportional to 427,730.84, 590,416.12 and 246,515.16 is: 340,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,730.84 : 590,416.12 = 246,515.16 : x
  2. Step 2: Convert to fraction form
    427,730.84/590,416.12 = 246,515.16/x
  3. Step 3: Cross multiply
    427,730.84x = 590,416.12 × 246,515.16
  4. Step 4: Simplify right side
    427,730.84x = 145,546,524,288.38
  5. Step 5: Solve for x
    x = 145,546,524,288.38/427,730.84
  6. Step 6: Final answer
    x = 340,275.96

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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.