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Finding the Fourth Proportional to 706,298, 974,475.78 and 400,325.36

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Solution

The fourth proportional to 706,298, 974,475.78 and 400,325.36 is: 552,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,298 : 974,475.78 = 400,325.36 : x
  2. Step 2: Convert to fraction form
    706,298/974,475.78 = 400,325.36/x
  3. Step 3: Cross multiply
    706,298x = 974,475.78 × 400,325.36
  4. Step 4: Simplify right side
    706,298x = 390,107,367,439.78
  5. Step 5: Solve for x
    x = 390,107,367,439.78/706,298
  6. Step 6: Final answer
    x = 552,326.88

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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.