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Finding the Fourth Proportional to 281,468.42, 388,427.01 and 152,408.30

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Solution

The fourth proportional to 281,468.42, 388,427.01 and 152,408.30 is: 210,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,468.42 : 388,427.01 = 152,408.30 : x
  2. Step 2: Convert to fraction form
    281,468.42/388,427.01 = 152,408.30/x
  3. Step 3: Cross multiply
    281,468.42x = 388,427.01 × 152,408.30
  4. Step 4: Simplify right side
    281,468.42x = 59,199,500,268.18
  5. Step 5: Solve for x
    x = 59,199,500,268.18/281,468.42
  6. Step 6: Final answer
    x = 210,323.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.