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Finding the Fourth Proportional to 300,564, 414,784.80 and 166,428

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Solution

The fourth proportional to 300,564, 414,784.80 and 166,428 is: 229,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,564 : 414,784.80 = 166,428 : x
  2. Step 2: Convert to fraction form
    300,564/414,784.80 = 166,428/x
  3. Step 3: Cross multiply
    300,564x = 414,784.80 × 166,428
  4. Step 4: Simplify right side
    300,564x = 69,031,804,694.40
  5. Step 5: Solve for x
    x = 69,031,804,694.40/300,564
  6. Step 6: Final answer
    x = 229,674.23

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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.