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Finding the Fourth Proportional to 381,140.01, 525,969.54 and 209,054.37

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Solution

The fourth proportional to 381,140.01, 525,969.54 and 209,054.37 is: 288,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,140.01 : 525,969.54 = 209,054.37 : x
  2. Step 2: Convert to fraction form
    381,140.01/525,969.54 = 209,054.37/x
  3. Step 3: Cross multiply
    381,140.01x = 525,969.54 × 209,054.37
  4. Step 4: Simplify right side
    381,140.01x = 109,956,230,823.89
  5. Step 5: Solve for x
    x = 109,956,230,823.89/381,140.01
  6. Step 6: Final answer
    x = 288,493.02

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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.