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Finding the Fourth Proportional to 400,200.30, 600,300.45 and 163,712.70

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Solution

The fourth proportional to 400,200.30, 600,300.45 and 163,712.70 is: 245,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,200.30 : 600,300.45 = 163,712.70 : x
  2. Step 2: Convert to fraction form
    400,200.30/600,300.45 = 163,712.70/x
  3. Step 3: Cross multiply
    400,200.30x = 600,300.45 × 163,712.70
  4. Step 4: Simplify right side
    400,200.30x = 98,276,807,480.72
  5. Step 5: Solve for x
    x = 98,276,807,480.72/400,200.30
  6. Step 6: Final answer
    x = 245,569.05

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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.