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Finding the Fourth Proportional to 378,064.47, 567,096.71 and 111,804.25

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Solution

The fourth proportional to 378,064.47, 567,096.71 and 111,804.25 is: 167,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,064.47 : 567,096.71 = 111,804.25 : x
  2. Step 2: Convert to fraction form
    378,064.47/567,096.71 = 111,804.25/x
  3. Step 3: Cross multiply
    378,064.47x = 567,096.71 × 111,804.25
  4. Step 4: Simplify right side
    378,064.47x = 63,403,822,339.02
  5. Step 5: Solve for x
    x = 63,403,822,339.02/378,064.47
  6. Step 6: Final answer
    x = 167,706.38

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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.