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Finding the Fourth Proportional to 288,466.47, 432,112.19 and 235,347.75

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Solution

The fourth proportional to 288,466.47, 432,112.19 and 235,347.75 is: 352,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,466.47 : 432,112.19 = 235,347.75 : x
  2. Step 2: Convert to fraction form
    288,466.47/432,112.19 = 235,347.75/x
  3. Step 3: Cross multiply
    288,466.47x = 432,112.19 × 235,347.75
  4. Step 4: Simplify right side
    288,466.47x = 101,696,630,487.33
  5. Step 5: Solve for x
    x = 101,696,630,487.33/288,466.47
  6. Step 6: Final answer
    x = 352,542.29

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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.