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Finding the Fourth Proportional to 422,973.04, 583,701.24 and 261,796

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Solution

The fourth proportional to 422,973.04, 583,701.24 and 261,796 is: 361,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,973.04 : 583,701.24 = 261,796 : x
  2. Step 2: Convert to fraction form
    422,973.04/583,701.24 = 261,796/x
  3. Step 3: Cross multiply
    422,973.04x = 583,701.24 × 261,796
  4. Step 4: Simplify right side
    422,973.04x = 152,810,649,827.04
  5. Step 5: Solve for x
    x = 152,810,649,827.04/422,973.04
  6. Step 6: Final answer
    x = 361,277.52

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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.