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Finding the Fourth Proportional to 298,729.60, 448,094.40 and 273,846.40

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Solution

The fourth proportional to 298,729.60, 448,094.40 and 273,846.40 is: 410,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,729.60 : 448,094.40 = 273,846.40 : x
  2. Step 2: Convert to fraction form
    298,729.60/448,094.40 = 273,846.40/x
  3. Step 3: Cross multiply
    298,729.60x = 448,094.40 × 273,846.40
  4. Step 4: Simplify right side
    298,729.60x = 122,709,038,300.16
  5. Step 5: Solve for x
    x = 122,709,038,300.16/298,729.60
  6. Step 6: Final answer
    x = 410,769.60

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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.