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Finding the Fourth Proportional to 290,564.70, 435,834.93 and 101,067.98

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Solution

The fourth proportional to 290,564.70, 435,834.93 and 101,067.98 is: 151,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,564.70 : 435,834.93 = 101,067.98 : x
  2. Step 2: Convert to fraction form
    290,564.70/435,834.93 = 101,067.98/x
  3. Step 3: Cross multiply
    290,564.70x = 435,834.93 × 101,067.98
  4. Step 4: Simplify right side
    290,564.70x = 44,048,953,809.37
  5. Step 5: Solve for x
    x = 44,048,953,809.37/290,564.70
  6. Step 6: Final answer
    x = 151,597.75

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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.