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Finding the Fourth Proportional to 380,360.63, 524,914.07 and 210,594.75

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Solution

The fourth proportional to 380,360.63, 524,914.07 and 210,594.75 is: 290,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,360.63 : 524,914.07 = 210,594.75 : x
  2. Step 2: Convert to fraction form
    380,360.63/524,914.07 = 210,594.75/x
  3. Step 3: Cross multiply
    380,360.63x = 524,914.07 × 210,594.75
  4. Step 4: Simplify right side
    380,360.63x = 110,544,146,290.16
  5. Step 5: Solve for x
    x = 110,544,146,290.16/380,360.63
  6. Step 6: Final answer
    x = 290,629.84

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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.