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Finding the Fourth Proportional to 287,097.82, 430,646.75 and 118,622.49

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Solution

The fourth proportional to 287,097.82, 430,646.75 and 118,622.49 is: 177,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,097.82 : 430,646.75 = 118,622.49 : x
  2. Step 2: Convert to fraction form
    287,097.82/430,646.75 = 118,622.49/x
  3. Step 3: Cross multiply
    287,097.82x = 430,646.75 × 118,622.49
  4. Step 4: Simplify right side
    287,097.82x = 51,084,388,422.23
  5. Step 5: Solve for x
    x = 51,084,388,422.23/287,097.82
  6. Step 6: Final answer
    x = 177,933.74

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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.