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Finding the Fourth Proportional to 381,127.82, 525,952.81 and 209,042.26

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Solution

The fourth proportional to 381,127.82, 525,952.81 and 209,042.26 is: 288,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,127.82 : 525,952.81 = 209,042.26 : x
  2. Step 2: Convert to fraction form
    381,127.82/525,952.81 = 209,042.26/x
  3. Step 3: Cross multiply
    381,127.82x = 525,952.81 × 209,042.26
  4. Step 4: Simplify right side
    381,127.82x = 109,946,364,055.75
  5. Step 5: Solve for x
    x = 109,946,364,055.75/381,127.82
  6. Step 6: Final answer
    x = 288,476.35

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1.5x scale

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.