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Finding the Fourth Proportional to 382,269.74, 527,545.77 and 210,200.77

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Solution

The fourth proportional to 382,269.74, 527,545.77 and 210,200.77 is: 290,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,269.74 : 527,545.77 = 210,200.77 : x
  2. Step 2: Convert to fraction form
    382,269.74/527,545.77 = 210,200.77/x
  3. Step 3: Cross multiply
    382,269.74x = 527,545.77 × 210,200.77
  4. Step 4: Simplify right side
    382,269.74x = 110,890,524,426.51
  5. Step 5: Solve for x
    x = 110,890,524,426.51/382,269.74
  6. Step 6: Final answer
    x = 290,084.49

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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.