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Finding the Fourth Proportional to 464,103.82, 640,458.12 and 260,187.94

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Solution

The fourth proportional to 464,103.82, 640,458.12 and 260,187.94 is: 359,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,103.82 : 640,458.12 = 260,187.94 : x
  2. Step 2: Convert to fraction form
    464,103.82/640,458.12 = 260,187.94/x
  3. Step 3: Cross multiply
    464,103.82x = 640,458.12 × 260,187.94
  4. Step 4: Simplify right side
    464,103.82x = 166,639,478,899.07
  5. Step 5: Solve for x
    x = 166,639,478,899.07/464,103.82
  6. Step 6: Final answer
    x = 359,056.47

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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.