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Finding the Fourth Proportional to 380,346.94, 524,913.98 and 210,581.06

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Solution

The fourth proportional to 380,346.94, 524,913.98 and 210,581.06 is: 290,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,346.94 : 524,913.98 = 210,581.06 : x
  2. Step 2: Convert to fraction form
    380,346.94/524,913.98 = 210,581.06/x
  3. Step 3: Cross multiply
    380,346.94x = 524,913.98 × 210,581.06
  4. Step 4: Simplify right side
    380,346.94x = 110,536,942,317.22
  5. Step 5: Solve for x
    x = 110,536,942,317.22/380,346.94
  6. Step 6: Final answer
    x = 290,621.35

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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.