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Finding the Fourth Proportional to 298,822.30, 412,362.72 and 162,853.31

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Solution

The fourth proportional to 298,822.30, 412,362.72 and 162,853.31 is: 224,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,822.30 : 412,362.72 = 162,853.31 : x
  2. Step 2: Convert to fraction form
    298,822.30/412,362.72 = 162,853.31/x
  3. Step 3: Cross multiply
    298,822.30x = 412,362.72 × 162,853.31
  4. Step 4: Simplify right side
    298,822.30x = 67,154,634,903.51
  5. Step 5: Solve for x
    x = 67,154,634,903.51/298,822.30
  6. Step 6: Final answer
    x = 224,731.00

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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.