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Finding the Fourth Proportional to 475,058.91, 711,844.50 and 285,052.35

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Solution

The fourth proportional to 475,058.91, 711,844.50 and 285,052.35 is: 427,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,058.91 : 711,844.50 = 285,052.35 : x
  2. Step 2: Convert to fraction form
    475,058.91/711,844.50 = 285,052.35/x
  3. Step 3: Cross multiply
    475,058.91x = 711,844.50 × 285,052.35
  4. Step 4: Simplify right side
    475,058.91x = 202,912,947,559.58
  5. Step 5: Solve for x
    x = 202,912,947,559.58/475,058.91
  6. Step 6: Final answer
    x = 427,132.18

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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.