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Finding the Fourth Proportional to 427,678.23, 590,343.48 and 246,462.38

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Solution

The fourth proportional to 427,678.23, 590,343.48 and 246,462.38 is: 340,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,678.23 : 590,343.48 = 246,462.38 : x
  2. Step 2: Convert to fraction form
    427,678.23/590,343.48 = 246,462.38/x
  3. Step 3: Cross multiply
    427,678.23x = 590,343.48 × 246,462.38
  4. Step 4: Simplify right side
    427,678.23x = 145,497,459,098.28
  5. Step 5: Solve for x
    x = 145,497,459,098.28/427,678.23
  6. Step 6: Final answer
    x = 340,203.10

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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.