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Finding the Fourth Proportional to 954,325, 1,431,496.14 and 289,477

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Solution

The fourth proportional to 954,325, 1,431,496.14 and 289,477 is: 434,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,325 : 1,431,496.14 = 289,477 : x
  2. Step 2: Convert to fraction form
    954,325/1,431,496.14 = 289,477/x
  3. Step 3: Cross multiply
    954,325x = 1,431,496.14 × 289,477
  4. Step 4: Simplify right side
    954,325x = 414,385,208,118.78
  5. Step 5: Solve for x
    x = 414,385,208,118.78/954,325
  6. Step 6: Final answer
    x = 434,218.12

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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.