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Finding the Fourth Proportional to 386,378.40, 578,401.20 and 386,378.40

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Solution

The fourth proportional to 386,378.40, 578,401.20 and 386,378.40 is: 578,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,378.40 : 578,401.20 = 386,378.40 : x
  2. Step 2: Convert to fraction form
    386,378.40/578,401.20 = 386,378.40/x
  3. Step 3: Cross multiply
    386,378.40x = 578,401.20 × 386,378.40
  4. Step 4: Simplify right side
    386,378.40x = 223,481,730,214.08
  5. Step 5: Solve for x
    x = 223,481,730,214.08/386,378.40
  6. Step 6: Final answer
    x = 578,401.20

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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.