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Finding the Fourth Proportional to 411,281.88, 567,564.34 and 229,991.32

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Solution

The fourth proportional to 411,281.88, 567,564.34 and 229,991.32 is: 317,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,281.88 : 567,564.34 = 229,991.32 : x
  2. Step 2: Convert to fraction form
    411,281.88/567,564.34 = 229,991.32/x
  3. Step 3: Cross multiply
    411,281.88x = 567,564.34 × 229,991.32
  4. Step 4: Simplify right side
    411,281.88x = 130,534,871,741.53
  5. Step 5: Solve for x
    x = 130,534,871,741.53/411,281.88
  6. Step 6: Final answer
    x = 317,385.42

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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.