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Finding the Fourth Proportional to 380,287.10, 524,802.42 and 208,202.20

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Solution

The fourth proportional to 380,287.10, 524,802.42 and 208,202.20 is: 287,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,287.10 : 524,802.42 = 208,202.20 : x
  2. Step 2: Convert to fraction form
    380,287.10/524,802.42 = 208,202.20/x
  3. Step 3: Cross multiply
    380,287.10x = 524,802.42 × 208,202.20
  4. Step 4: Simplify right side
    380,287.10x = 109,265,018,409.32
  5. Step 5: Solve for x
    x = 109,265,018,409.32/380,287.10
  6. Step 6: Final answer
    x = 287,322.44

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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.