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Finding the Fourth Proportional to 460,323.14, 690,779.62 and 223,536.64

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Solution

The fourth proportional to 460,323.14, 690,779.62 and 223,536.64 is: 335,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,323.14 : 690,779.62 = 223,536.64 : x
  2. Step 2: Convert to fraction form
    460,323.14/690,779.62 = 223,536.64/x
  3. Step 3: Cross multiply
    460,323.14x = 690,779.62 × 223,536.64
  4. Step 4: Simplify right side
    460,323.14x = 154,414,555,235.28
  5. Step 5: Solve for x
    x = 154,414,555,235.28/460,323.14
  6. Step 6: Final answer
    x = 335,448.17

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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.