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Finding the Fourth Proportional to 504,273.60, 755,389.80 and 314,150.40

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Solution

The fourth proportional to 504,273.60, 755,389.80 and 314,150.40 is: 470,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,273.60 : 755,389.80 = 314,150.40 : x
  2. Step 2: Convert to fraction form
    504,273.60/755,389.80 = 314,150.40/x
  3. Step 3: Cross multiply
    504,273.60x = 755,389.80 × 314,150.40
  4. Step 4: Simplify right side
    504,273.60x = 237,306,007,825.92
  5. Step 5: Solve for x
    x = 237,306,007,825.92/504,273.60
  6. Step 6: Final answer
    x = 470,589.79

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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.