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Finding the Fourth Proportional to 402,298.40, 603,447.60 and 396,077.60

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Solution

The fourth proportional to 402,298.40, 603,447.60 and 396,077.60 is: 594,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,298.40 : 603,447.60 = 396,077.60 : x
  2. Step 2: Convert to fraction form
    402,298.40/603,447.60 = 396,077.60/x
  3. Step 3: Cross multiply
    402,298.40x = 603,447.60 × 396,077.60
  4. Step 4: Simplify right side
    402,298.40x = 239,012,077,133.76
  5. Step 5: Solve for x
    x = 239,012,077,133.76/402,298.40
  6. Step 6: Final answer
    x = 594,116.40

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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.