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Finding the Fourth Proportional to 427,152, 589,460 and 236,166.96

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Solution

The fourth proportional to 427,152, 589,460 and 236,166.96 is: 325,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,152 : 589,460 = 236,166.96 : x
  2. Step 2: Convert to fraction form
    427,152/589,460 = 236,166.96/x
  3. Step 3: Cross multiply
    427,152x = 589,460 × 236,166.96
  4. Step 4: Simplify right side
    427,152x = 139,210,976,241.60
  5. Step 5: Solve for x
    x = 139,210,976,241.60/427,152
  6. Step 6: Final answer
    x = 325,905.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.