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Finding the Fourth Proportional to 369,054.88, 509,333.34 and 225,909.52

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Solution

The fourth proportional to 369,054.88, 509,333.34 and 225,909.52 is: 311,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,054.88 : 509,333.34 = 225,909.52 : x
  2. Step 2: Convert to fraction form
    369,054.88/509,333.34 = 225,909.52/x
  3. Step 3: Cross multiply
    369,054.88x = 509,333.34 × 225,909.52
  4. Step 4: Simplify right side
    369,054.88x = 115,063,250,359.40
  5. Step 5: Solve for x
    x = 115,063,250,359.40/369,054.88
  6. Step 6: Final answer
    x = 311,778.16

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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.