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Finding the Fourth Proportional to 378,124.32, 567,422.94 and 153,484.68

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Solution

The fourth proportional to 378,124.32, 567,422.94 and 153,484.68 is: 230,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,124.32 : 567,422.94 = 153,484.68 : x
  2. Step 2: Convert to fraction form
    378,124.32/567,422.94 = 153,484.68/x
  3. Step 3: Cross multiply
    378,124.32x = 567,422.94 × 153,484.68
  4. Step 4: Simplify right side
    378,124.32x = 87,090,728,370.56
  5. Step 5: Solve for x
    x = 87,090,728,370.56/378,124.32
  6. Step 6: Final answer
    x = 230,323.00

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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.