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Finding the Fourth Proportional to 381,127.83, 525,957.16 and 209,047.20

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Solution

The fourth proportional to 381,127.83, 525,957.16 and 209,047.20 is: 288,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,127.83 : 525,957.16 = 209,047.20 : x
  2. Step 2: Convert to fraction form
    381,127.83/525,957.16 = 209,047.20/x
  3. Step 3: Cross multiply
    381,127.83x = 525,957.16 × 209,047.20
  4. Step 4: Simplify right side
    381,127.83x = 109,949,871,617.95
  5. Step 5: Solve for x
    x = 109,949,871,617.95/381,127.83
  6. Step 6: Final answer
    x = 288,485.55

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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.