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Finding the Fourth Proportional to 431,175, 646,272.03 and 262,323.13

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Solution

The fourth proportional to 431,175, 646,272.03 and 262,323.13 is: 393,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,175 : 646,272.03 = 262,323.13 : x
  2. Step 2: Convert to fraction form
    431,175/646,272.03 = 262,323.13/x
  3. Step 3: Cross multiply
    431,175x = 646,272.03 × 262,323.13
  4. Step 4: Simplify right side
    431,175x = 169,532,101,741.05
  5. Step 5: Solve for x
    x = 169,532,101,741.05/431,175
  6. Step 6: Final answer
    x = 393,186.30

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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.