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Finding the Fourth Proportional to 380,409.82, 524,965.51 and 210,643.94

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Solution

The fourth proportional to 380,409.82, 524,965.51 and 210,643.94 is: 290,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,409.82 : 524,965.51 = 210,643.94 : x
  2. Step 2: Convert to fraction form
    380,409.82/524,965.51 = 210,643.94/x
  3. Step 3: Cross multiply
    380,409.82x = 524,965.51 × 210,643.94
  4. Step 4: Simplify right side
    380,409.82x = 110,580,803,390.51
  5. Step 5: Solve for x
    x = 110,580,803,390.51/380,409.82
  6. Step 6: Final answer
    x = 290,688.61

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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.