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Finding the Fourth Proportional to 489,863.32, 734,822.37 and 152,950.51

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Solution

The fourth proportional to 489,863.32, 734,822.37 and 152,950.51 is: 229,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,863.32 : 734,822.37 = 152,950.51 : x
  2. Step 2: Convert to fraction form
    489,863.32/734,822.37 = 152,950.51/x
  3. Step 3: Cross multiply
    489,863.32x = 734,822.37 × 152,950.51
  4. Step 4: Simplify right side
    489,863.32x = 112,391,456,250.91
  5. Step 5: Solve for x
    x = 112,391,456,250.91/489,863.32
  6. Step 6: Final answer
    x = 229,434.32

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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.