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Finding the Fourth Proportional to 380,386.56, 524,933.44 and 210,620.64

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Solution

The fourth proportional to 380,386.56, 524,933.44 and 210,620.64 is: 290,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,386.56 : 524,933.44 = 210,620.64 : x
  2. Step 2: Convert to fraction form
    380,386.56/524,933.44 = 210,620.64/x
  3. Step 3: Cross multiply
    380,386.56x = 524,933.44 × 210,620.64
  4. Step 4: Simplify right side
    380,386.56x = 110,561,817,090.20
  5. Step 5: Solve for x
    x = 110,561,817,090.20/380,386.56
  6. Step 6: Final answer
    x = 290,656.48

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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.