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Finding the Fourth Proportional to 456,058.54, 684,235.47 and 219,370.42

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Solution

The fourth proportional to 456,058.54, 684,235.47 and 219,370.42 is: 329,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,058.54 : 684,235.47 = 219,370.42 : x
  2. Step 2: Convert to fraction form
    456,058.54/684,235.47 = 219,370.42/x
  3. Step 3: Cross multiply
    456,058.54x = 684,235.47 × 219,370.42
  4. Step 4: Simplify right side
    456,058.54x = 150,101,022,432.80
  5. Step 5: Solve for x
    x = 150,101,022,432.80/456,058.54
  6. Step 6: Final answer
    x = 329,126.66

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1.5x scale

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.