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Finding the Fourth Proportional to 429,812.32, 593,135.28 and 238,821.28

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Solution

The fourth proportional to 429,812.32, 593,135.28 and 238,821.28 is: 329,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,812.32 : 593,135.28 = 238,821.28 : x
  2. Step 2: Convert to fraction form
    429,812.32/593,135.28 = 238,821.28/x
  3. Step 3: Cross multiply
    429,812.32x = 593,135.28 × 238,821.28
  4. Step 4: Simplify right side
    429,812.32x = 141,653,326,782.76
  5. Step 5: Solve for x
    x = 141,653,326,782.76/429,812.32
  6. Step 6: Final answer
    x = 329,570.19

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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.