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Finding the Fourth Proportional to 465,588.52, 699,268.54 and 289,327.32

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Solution

The fourth proportional to 465,588.52, 699,268.54 and 289,327.32 is: 434,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,588.52 : 699,268.54 = 289,327.32 : x
  2. Step 2: Convert to fraction form
    465,588.52/699,268.54 = 289,327.32/x
  3. Step 3: Cross multiply
    465,588.52x = 699,268.54 × 289,327.32
  4. Step 4: Simplify right side
    465,588.52x = 202,317,492,638.51
  5. Step 5: Solve for x
    x = 202,317,492,638.51/465,588.52
  6. Step 6: Final answer
    x = 434,541.41

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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.