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Finding the Fourth Proportional to 470,342.52, 705,030.48 and 185,917.50

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Solution

The fourth proportional to 470,342.52, 705,030.48 and 185,917.50 is: 278,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,342.52 : 705,030.48 = 185,917.50 : x
  2. Step 2: Convert to fraction form
    470,342.52/705,030.48 = 185,917.50/x
  3. Step 3: Cross multiply
    470,342.52x = 705,030.48 × 185,917.50
  4. Step 4: Simplify right side
    470,342.52x = 131,077,504,265.40
  5. Step 5: Solve for x
    x = 131,077,504,265.40/470,342.52
  6. Step 6: Final answer
    x = 278,685.21

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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.