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Finding the Fourth Proportional to 380,493.68, 525,090.50 and 210,740.36

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Solution

The fourth proportional to 380,493.68, 525,090.50 and 210,740.36 is: 290,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,493.68 : 525,090.50 = 210,740.36 : x
  2. Step 2: Convert to fraction form
    380,493.68/525,090.50 = 210,740.36/x
  3. Step 3: Cross multiply
    380,493.68x = 525,090.50 × 210,740.36
  4. Step 4: Simplify right side
    380,493.68x = 110,657,761,002.58
  5. Step 5: Solve for x
    x = 110,657,761,002.58/380,493.68
  6. Step 6: Final answer
    x = 290,826.80

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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.