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Finding the Fourth Proportional to 273,729.50, 410,499.16 and 152,335.29

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Solution

The fourth proportional to 273,729.50, 410,499.16 and 152,335.29 is: 228,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,729.50 : 410,499.16 = 152,335.29 : x
  2. Step 2: Convert to fraction form
    273,729.50/410,499.16 = 152,335.29/x
  3. Step 3: Cross multiply
    273,729.50x = 410,499.16 × 152,335.29
  4. Step 4: Simplify right side
    273,729.50x = 62,533,506,743.95
  5. Step 5: Solve for x
    x = 62,533,506,743.95/273,729.50
  6. Step 6: Final answer
    x = 228,450.01

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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.