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Finding the Fourth Proportional to 260,063.20, 390,094.80 and 242,567.20

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Solution

The fourth proportional to 260,063.20, 390,094.80 and 242,567.20 is: 363,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,063.20 : 390,094.80 = 242,567.20 : x
  2. Step 2: Convert to fraction form
    260,063.20/390,094.80 = 242,567.20/x
  3. Step 3: Cross multiply
    260,063.20x = 390,094.80 × 242,567.20
  4. Step 4: Simplify right side
    260,063.20x = 94,624,203,370.56
  5. Step 5: Solve for x
    x = 94,624,203,370.56/260,063.20
  6. Step 6: Final answer
    x = 363,850.80

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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.