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Finding the Fourth Proportional to 304,765.79, 457,178.76 and 105,059.88

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Solution

The fourth proportional to 304,765.79, 457,178.76 and 105,059.88 is: 157,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,765.79 : 457,178.76 = 105,059.88 : x
  2. Step 2: Convert to fraction form
    304,765.79/457,178.76 = 105,059.88/x
  3. Step 3: Cross multiply
    304,765.79x = 457,178.76 × 105,059.88
  4. Step 4: Simplify right side
    304,765.79x = 48,031,145,664.15
  5. Step 5: Solve for x
    x = 48,031,145,664.15/304,765.79
  6. Step 6: Final answer
    x = 157,600.19

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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.