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Finding the Fourth Proportional to 286,642.44, 429,962.31 and 73,409.94

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Solution

The fourth proportional to 286,642.44, 429,962.31 and 73,409.94 is: 110,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642.44 : 429,962.31 = 73,409.94 : x
  2. Step 2: Convert to fraction form
    286,642.44/429,962.31 = 73,409.94/x
  3. Step 3: Cross multiply
    286,642.44x = 429,962.31 × 73,409.94
  4. Step 4: Simplify right side
    286,642.44x = 31,563,507,379.36
  5. Step 5: Solve for x
    x = 31,563,507,379.36/286,642.44
  6. Step 6: Final answer
    x = 110,114.56

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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.