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Finding the Fourth Proportional to 556,468.57, 767,926.44 and 314,745.94

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Solution

The fourth proportional to 556,468.57, 767,926.44 and 314,745.94 is: 434,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,468.57 : 767,926.44 = 314,745.94 : x
  2. Step 2: Convert to fraction form
    556,468.57/767,926.44 = 314,745.94/x
  3. Step 3: Cross multiply
    556,468.57x = 767,926.44 × 314,745.94
  4. Step 4: Simplify right side
    556,468.57x = 241,701,729,208.65
  5. Step 5: Solve for x
    x = 241,701,729,208.65/556,468.57
  6. Step 6: Final answer
    x = 434,349.29

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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.