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Finding the Fourth Proportional to 515,950.24, 711,972.27 and 289,552

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Solution

The fourth proportional to 515,950.24, 711,972.27 and 289,552 is: 399,559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,950.24 : 711,972.27 = 289,552 : x
  2. Step 2: Convert to fraction form
    515,950.24/711,972.27 = 289,552/x
  3. Step 3: Cross multiply
    515,950.24x = 711,972.27 × 289,552
  4. Step 4: Simplify right side
    515,950.24x = 206,152,994,723.04
  5. Step 5: Solve for x
    x = 206,152,994,723.04/515,950.24
  6. Step 6: Final answer
    x = 399,559.84

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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.