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Finding the Fourth Proportional to 304,501.60, 457,270.80 and 225,704.80

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Solution

The fourth proportional to 304,501.60, 457,270.80 and 225,704.80 is: 338,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,501.60 : 457,270.80 = 225,704.80 : x
  2. Step 2: Convert to fraction form
    304,501.60/457,270.80 = 225,704.80/x
  3. Step 3: Cross multiply
    304,501.60x = 457,270.80 × 225,704.80
  4. Step 4: Simplify right side
    304,501.60x = 103,208,214,459.84
  5. Step 5: Solve for x
    x = 103,208,214,459.84/304,501.60
  6. Step 6: Final answer
    x = 338,941.45

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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.