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Finding the Fourth Proportional to 489,301.83, 734,021.19 and 152,366.94

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Solution

The fourth proportional to 489,301.83, 734,021.19 and 152,366.94 is: 228,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,301.83 : 734,021.19 = 152,366.94 : x
  2. Step 2: Convert to fraction form
    489,301.83/734,021.19 = 152,366.94/x
  3. Step 3: Cross multiply
    489,301.83x = 734,021.19 × 152,366.94
  4. Step 4: Simplify right side
    489,301.83x = 111,840,562,615.46
  5. Step 5: Solve for x
    x = 111,840,562,615.46/489,301.83
  6. Step 6: Final answer
    x = 228,571.72

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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.