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Finding the Fourth Proportional to 381,210.82, 526,075.00 and 209,129.09

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Solution

The fourth proportional to 381,210.82, 526,075.00 and 209,129.09 is: 288,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,210.82 : 526,075.00 = 209,129.09 : x
  2. Step 2: Convert to fraction form
    381,210.82/526,075.00 = 209,129.09/x
  3. Step 3: Cross multiply
    381,210.82x = 526,075.00 × 209,129.09
  4. Step 4: Simplify right side
    381,210.82x = 110,017,587,004.08
  5. Step 5: Solve for x
    x = 110,017,587,004.08/381,210.82
  6. Step 6: Final answer
    x = 288,600.38

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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.