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Finding the Fourth Proportional to 380,967.20, 525,741.12 and 208,881.60

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Solution

The fourth proportional to 380,967.20, 525,741.12 and 208,881.60 is: 288,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,967.20 : 525,741.12 = 208,881.60 : x
  2. Step 2: Convert to fraction form
    380,967.20/525,741.12 = 208,881.60/x
  3. Step 3: Cross multiply
    380,967.20x = 525,741.12 × 208,881.60
  4. Step 4: Simplify right side
    380,967.20x = 109,817,646,331.39
  5. Step 5: Solve for x
    x = 109,817,646,331.39/380,967.20
  6. Step 6: Final answer
    x = 288,260.11

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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.