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Finding the Fourth Proportional to 380,346.34, 524,913.16 and 210,580.46

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Solution

The fourth proportional to 380,346.34, 524,913.16 and 210,580.46 is: 290,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,346.34 : 524,913.16 = 210,580.46 : x
  2. Step 2: Convert to fraction form
    380,346.34/524,913.16 = 210,580.46/x
  3. Step 3: Cross multiply
    380,346.34x = 524,913.16 × 210,580.46
  4. Step 4: Simplify right side
    380,346.34x = 110,536,455,478.69
  5. Step 5: Solve for x
    x = 110,536,455,478.69/380,346.34
  6. Step 6: Final answer
    x = 290,620.53

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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.