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Finding the Fourth Proportional to 489,784.12, 734,408.34 and 152,734.68

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Solution

The fourth proportional to 489,784.12, 734,408.34 and 152,734.68 is: 229,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,784.12 : 734,408.34 = 152,734.68 : x
  2. Step 2: Convert to fraction form
    489,784.12/734,408.34 = 152,734.68/x
  3. Step 3: Cross multiply
    489,784.12x = 734,408.34 × 152,734.68
  4. Step 4: Simplify right side
    489,784.12x = 112,169,622,799.23
  5. Step 5: Solve for x
    x = 112,169,622,799.23/489,784.12
  6. Step 6: Final answer
    x = 229,018.50

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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.