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Finding the Fourth Proportional to 380,182.01, 524,667.71 and 210,416.09

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Solution

The fourth proportional to 380,182.01, 524,667.71 and 210,416.09 is: 290,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,182.01 : 524,667.71 = 210,416.09 : x
  2. Step 2: Convert to fraction form
    380,182.01/524,667.71 = 210,416.09/x
  3. Step 3: Cross multiply
    380,182.01x = 524,667.71 × 210,416.09
  4. Step 4: Simplify right side
    380,182.01x = 110,398,525,990.16
  5. Step 5: Solve for x
    x = 110,398,525,990.16/380,182.01
  6. Step 6: Final answer
    x = 290,383.35

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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.