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Finding the Fourth Proportional to 295,214.70, 442,774.41 and 84,804.78

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Solution

The fourth proportional to 295,214.70, 442,774.41 and 84,804.78 is: 127,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,214.70 : 442,774.41 = 84,804.78 : x
  2. Step 2: Convert to fraction form
    295,214.70/442,774.41 = 84,804.78/x
  3. Step 3: Cross multiply
    295,214.70x = 442,774.41 × 84,804.78
  4. Step 4: Simplify right side
    295,214.70x = 37,549,386,429.68
  5. Step 5: Solve for x
    x = 37,549,386,429.68/295,214.70
  6. Step 6: Final answer
    x = 127,193.48

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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.