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Finding the Fourth Proportional to 304,697.70, 457,089.11 and 127,164.06

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Solution

The fourth proportional to 304,697.70, 457,089.11 and 127,164.06 is: 190,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,697.70 : 457,089.11 = 127,164.06 : x
  2. Step 2: Convert to fraction form
    304,697.70/457,089.11 = 127,164.06/x
  3. Step 3: Cross multiply
    304,697.70x = 457,089.11 × 127,164.06
  4. Step 4: Simplify right side
    304,697.70x = 58,125,308,470.02
  5. Step 5: Solve for x
    x = 58,125,308,470.02/304,697.70
  6. Step 6: Final answer
    x = 190,763.86

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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.