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Finding the Fourth Proportional to 304,765.60, 457,666.80 and 225,968.80

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Solution

The fourth proportional to 304,765.60, 457,666.80 and 225,968.80 is: 339,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,765.60 : 457,666.80 = 225,968.80 : x
  2. Step 2: Convert to fraction form
    304,765.60/457,666.80 = 225,968.80/x
  3. Step 3: Cross multiply
    304,765.60x = 457,666.80 × 225,968.80
  4. Step 4: Simplify right side
    304,765.60x = 103,418,417,595.84
  5. Step 5: Solve for x
    x = 103,418,417,595.84/304,765.60
  6. Step 6: Final answer
    x = 339,337.57

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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.