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Finding the Fourth Proportional to 464,005.29, 640,380.42 and 260,111.28

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Solution

The fourth proportional to 464,005.29, 640,380.42 and 260,111.28 is: 358,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,005.29 : 640,380.42 = 260,111.28 : x
  2. Step 2: Convert to fraction form
    464,005.29/640,380.42 = 260,111.28/x
  3. Step 3: Cross multiply
    464,005.29x = 640,380.42 × 260,111.28
  4. Step 4: Simplify right side
    464,005.29x = 166,570,170,733.14
  5. Step 5: Solve for x
    x = 166,570,170,733.14/464,005.29
  6. Step 6: Final answer
    x = 358,983.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.