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Finding the Fourth Proportional to 551,697.66, 826,958.43 and 314,529.66

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Solution

The fourth proportional to 551,697.66, 826,958.43 and 314,529.66 is: 471,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,697.66 : 826,958.43 = 314,529.66 : x
  2. Step 2: Convert to fraction form
    551,697.66/826,958.43 = 314,529.66/x
  3. Step 3: Cross multiply
    551,697.66x = 826,958.43 × 314,529.66
  4. Step 4: Simplify right side
    551,697.66x = 260,102,953,822.03
  5. Step 5: Solve for x
    x = 260,102,953,822.03/551,697.66
  6. Step 6: Final answer
    x = 471,459.23

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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.