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Finding the Fourth Proportional to 527,644.91, 789,575.43 and 456,811.17

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Solution

The fourth proportional to 527,644.91, 789,575.43 and 456,811.17 is: 683,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,644.91 : 789,575.43 = 456,811.17 : x
  2. Step 2: Convert to fraction form
    527,644.91/789,575.43 = 456,811.17/x
  3. Step 3: Cross multiply
    527,644.91x = 789,575.43 × 456,811.17
  4. Step 4: Simplify right side
    527,644.91x = 360,686,875,981.55
  5. Step 5: Solve for x
    x = 360,686,875,981.55/527,644.91
  6. Step 6: Final answer
    x = 683,578.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.