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Finding the Fourth Proportional to 276,464.63, 414,762.75 and 89,476.13

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Solution

The fourth proportional to 276,464.63, 414,762.75 and 89,476.13 is: 134,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,464.63 : 414,762.75 = 89,476.13 : x
  2. Step 2: Convert to fraction form
    276,464.63/414,762.75 = 89,476.13/x
  3. Step 3: Cross multiply
    276,464.63x = 414,762.75 × 89,476.13
  4. Step 4: Simplify right side
    276,464.63x = 37,111,363,664.34
  5. Step 5: Solve for x
    x = 37,111,363,664.34/276,464.63
  6. Step 6: Final answer
    x = 134,235.49

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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.