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Finding the Fourth Proportional to 270,317.24, 405,843.58 and 152,071.80

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Solution

The fourth proportional to 270,317.24, 405,843.58 and 152,071.80 is: 228,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,317.24 : 405,843.58 = 152,071.80 : x
  2. Step 2: Convert to fraction form
    270,317.24/405,843.58 = 152,071.80/x
  3. Step 3: Cross multiply
    270,317.24x = 405,843.58 × 152,071.80
  4. Step 4: Simplify right side
    270,317.24x = 61,717,363,729.04
  5. Step 5: Solve for x
    x = 61,717,363,729.04/270,317.24
  6. Step 6: Final answer
    x = 228,314.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.