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Finding the Fourth Proportional to 438,097.80, 657,146.70 and 188,779.80

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Solution

The fourth proportional to 438,097.80, 657,146.70 and 188,779.80 is: 283,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,097.80 : 657,146.70 = 188,779.80 : x
  2. Step 2: Convert to fraction form
    438,097.80/657,146.70 = 188,779.80/x
  3. Step 3: Cross multiply
    438,097.80x = 657,146.70 × 188,779.80
  4. Step 4: Simplify right side
    438,097.80x = 124,056,022,596.66
  5. Step 5: Solve for x
    x = 124,056,022,596.66/438,097.80
  6. Step 6: Final answer
    x = 283,169.70

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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.