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Finding the Fourth Proportional to 380,225.12, 524,655.72 and 210,458.84

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Solution

The fourth proportional to 380,225.12, 524,655.72 and 210,458.84 is: 290,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,225.12 : 524,655.72 = 210,458.84 : x
  2. Step 2: Convert to fraction form
    380,225.12/524,655.72 = 210,458.84/x
  3. Step 3: Cross multiply
    380,225.12x = 524,655.72 × 210,458.84
  4. Step 4: Simplify right side
    380,225.12x = 110,418,434,230.57
  5. Step 5: Solve for x
    x = 110,418,434,230.57/380,225.12
  6. Step 6: Final answer
    x = 290,402.79

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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.