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Finding the Fourth Proportional to 489,755.64, 734,703.57 and 152,826.42

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Solution

The fourth proportional to 489,755.64, 734,703.57 and 152,826.42 is: 229,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,755.64 : 734,703.57 = 152,826.42 : x
  2. Step 2: Convert to fraction form
    489,755.64/734,703.57 = 152,826.42/x
  3. Step 3: Cross multiply
    489,755.64x = 734,703.57 × 152,826.42
  4. Step 4: Simplify right side
    489,755.64x = 112,282,116,364.32
  5. Step 5: Solve for x
    x = 112,282,116,364.32/489,755.64
  6. Step 6: Final answer
    x = 229,261.51

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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.