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Finding the Fourth Proportional to 429,464.48, 592,662.84 and 238,477.28

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Solution

The fourth proportional to 429,464.48, 592,662.84 and 238,477.28 is: 329,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,464.48 : 592,662.84 = 238,477.28 : x
  2. Step 2: Convert to fraction form
    429,464.48/592,662.84 = 238,477.28/x
  3. Step 3: Cross multiply
    429,464.48x = 592,662.84 × 238,477.28
  4. Step 4: Simplify right side
    429,464.48x = 141,336,622,040.28
  5. Step 5: Solve for x
    x = 141,336,622,040.28/429,464.48
  6. Step 6: Final answer
    x = 329,099.68

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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.