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Finding the Fourth Proportional to 427,824.38, 590,459.46 and 246,501.47

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Solution

The fourth proportional to 427,824.38, 590,459.46 and 246,501.47 is: 340,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,824.38 : 590,459.46 = 246,501.47 : x
  2. Step 2: Convert to fraction form
    427,824.38/590,459.46 = 246,501.47/x
  3. Step 3: Cross multiply
    427,824.38x = 590,459.46 × 246,501.47
  4. Step 4: Simplify right side
    427,824.38x = 145,549,124,865.41
  5. Step 5: Solve for x
    x = 145,549,124,865.41/427,824.38
  6. Step 6: Final answer
    x = 340,207.65

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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.