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Finding the Fourth Proportional to 381,124.83, 525,953.02 and 209,044.20

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Solution

The fourth proportional to 381,124.83, 525,953.02 and 209,044.20 is: 288,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,124.83 : 525,953.02 = 209,044.20 : x
  2. Step 2: Convert to fraction form
    381,124.83/525,953.02 = 209,044.20/x
  3. Step 3: Cross multiply
    381,124.83x = 525,953.02 × 209,044.20
  4. Step 4: Simplify right side
    381,124.83x = 109,947,425,653.49
  5. Step 5: Solve for x
    x = 109,947,425,653.49/381,124.83
  6. Step 6: Final answer
    x = 288,481.40

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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.