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Finding the Fourth Proportional to 565,743.04, 780,745.44 and 311,113.60

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Solution

The fourth proportional to 565,743.04, 780,745.44 and 311,113.60 is: 429,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,743.04 : 780,745.44 = 311,113.60 : x
  2. Step 2: Convert to fraction form
    565,743.04/780,745.44 = 311,113.60/x
  3. Step 3: Cross multiply
    565,743.04x = 780,745.44 × 311,113.60
  4. Step 4: Simplify right side
    565,743.04x = 242,900,524,521.98
  5. Step 5: Solve for x
    x = 242,900,524,521.98/565,743.04
  6. Step 6: Final answer
    x = 429,347.79

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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.