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Finding the Fourth Proportional to 468,695.76, 646,796.52 and 253,835.16

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Solution

The fourth proportional to 468,695.76, 646,796.52 and 253,835.16 is: 350,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,695.76 : 646,796.52 = 253,835.16 : x
  2. Step 2: Convert to fraction form
    468,695.76/646,796.52 = 253,835.16/x
  3. Step 3: Cross multiply
    468,695.76x = 646,796.52 × 253,835.16
  4. Step 4: Simplify right side
    468,695.76x = 164,179,698,141.64
  5. Step 5: Solve for x
    x = 164,179,698,141.64/468,695.76
  6. Step 6: Final answer
    x = 350,290.56

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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.