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Finding the Fourth Proportional to 470,589.36, 706,015.80 and 190,303.44

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Solution

The fourth proportional to 470,589.36, 706,015.80 and 190,303.44 is: 285,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,589.36 : 706,015.80 = 190,303.44 : x
  2. Step 2: Convert to fraction form
    470,589.36/706,015.80 = 190,303.44/x
  3. Step 3: Cross multiply
    470,589.36x = 706,015.80 × 190,303.44
  4. Step 4: Simplify right side
    470,589.36x = 134,357,235,434.35
  5. Step 5: Solve for x
    x = 134,357,235,434.35/470,589.36
  6. Step 6: Final answer
    x = 285,508.44

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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.