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Finding the Fourth Proportional to 381,920.34, 527,051.57 and 209,852.25

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Solution

The fourth proportional to 381,920.34, 527,051.57 and 209,852.25 is: 289,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,920.34 : 527,051.57 = 209,852.25 : x
  2. Step 2: Convert to fraction form
    381,920.34/527,051.57 = 209,852.25/x
  3. Step 3: Cross multiply
    381,920.34x = 527,051.57 × 209,852.25
  4. Step 4: Simplify right side
    381,920.34x = 110,602,956,781.27
  5. Step 5: Solve for x
    x = 110,602,956,781.27/381,920.34
  6. Step 6: Final answer
    x = 289,596.93

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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.