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Finding the Fourth Proportional to 431,488.52, 646,783.73 and 241,670.58

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Solution

The fourth proportional to 431,488.52, 646,783.73 and 241,670.58 is: 362,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,488.52 : 646,783.73 = 241,670.58 : x
  2. Step 2: Convert to fraction form
    431,488.52/646,783.73 = 241,670.58/x
  3. Step 3: Cross multiply
    431,488.52x = 646,783.73 × 241,670.58
  4. Step 4: Simplify right side
    431,488.52x = 156,308,599,163.66
  5. Step 5: Solve for x
    x = 156,308,599,163.66/431,488.52
  6. Step 6: Final answer
    x = 362,254.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.