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Finding the Fourth Proportional to 382,432.94, 527,760.87 and 208,004.71

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Solution

The fourth proportional to 382,432.94, 527,760.87 and 208,004.71 is: 287,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,432.94 : 527,760.87 = 208,004.71 : x
  2. Step 2: Convert to fraction form
    382,432.94/527,760.87 = 208,004.71/x
  3. Step 3: Cross multiply
    382,432.94x = 527,760.87 × 208,004.71
  4. Step 4: Simplify right side
    382,432.94x = 109,776,744,074.89
  5. Step 5: Solve for x
    x = 109,776,744,074.89/382,432.94
  6. Step 6: Final answer
    x = 287,048.35

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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.