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Finding the Fourth Proportional to 475,058.42, 712,653.24 and 159,605.54

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Solution

The fourth proportional to 475,058.42, 712,653.24 and 159,605.54 is: 239,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,058.42 : 712,653.24 = 159,605.54 : x
  2. Step 2: Convert to fraction form
    475,058.42/712,653.24 = 159,605.54/x
  3. Step 3: Cross multiply
    475,058.42x = 712,653.24 × 159,605.54
  4. Step 4: Simplify right side
    475,058.42x = 113,743,405,202.95
  5. Step 5: Solve for x
    x = 113,743,405,202.95/475,058.42
  6. Step 6: Final answer
    x = 239,430.35

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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.