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Finding the Fourth Proportional to 378,575.76, 567,302.65 and 153,662.52

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Solution

The fourth proportional to 378,575.76, 567,302.65 and 153,662.52 is: 230,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,575.76 : 567,302.65 = 153,662.52 : x
  2. Step 2: Convert to fraction form
    378,575.76/567,302.65 = 153,662.52/x
  3. Step 3: Cross multiply
    378,575.76x = 567,302.65 × 153,662.52
  4. Step 4: Simplify right side
    378,575.76x = 87,173,154,801.68
  5. Step 5: Solve for x
    x = 87,173,154,801.68/378,575.76
  6. Step 6: Final answer
    x = 230,266.08

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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.