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Finding the Fourth Proportional to 470,609.36, 706,045.80 and 190,323.44

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Solution

The fourth proportional to 470,609.36, 706,045.80 and 190,323.44 is: 285,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,609.36 : 706,045.80 = 190,323.44 : x
  2. Step 2: Convert to fraction form
    470,609.36/706,045.80 = 190,323.44/x
  3. Step 3: Cross multiply
    470,609.36x = 706,045.80 × 190,323.44
  4. Step 4: Simplify right side
    470,609.36x = 134,377,065,453.55
  5. Step 5: Solve for x
    x = 134,377,065,453.55/470,609.36
  6. Step 6: Final answer
    x = 285,538.45

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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.