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Finding the Fourth Proportional to 300,541.19, 414,746.84 and 164,583.45

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Solution

The fourth proportional to 300,541.19, 414,746.84 and 164,583.45 is: 227,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,541.19 : 414,746.84 = 164,583.45 : x
  2. Step 2: Convert to fraction form
    300,541.19/414,746.84 = 164,583.45/x
  3. Step 3: Cross multiply
    300,541.19x = 414,746.84 × 164,583.45
  4. Step 4: Simplify right side
    300,541.19x = 68,260,465,803.80
  5. Step 5: Solve for x
    x = 68,260,465,803.80/300,541.19
  6. Step 6: Final answer
    x = 227,125.16

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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.