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Finding the Fourth Proportional to 380,569.14, 570,583.50 and 190,893.06

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Solution

The fourth proportional to 380,569.14, 570,583.50 and 190,893.06 is: 286,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,569.14 : 570,583.50 = 190,893.06 : x
  2. Step 2: Convert to fraction form
    380,569.14/570,583.50 = 190,893.06/x
  3. Step 3: Cross multiply
    380,569.14x = 570,583.50 × 190,893.06
  4. Step 4: Simplify right side
    380,569.14x = 108,920,430,300.51
  5. Step 5: Solve for x
    x = 108,920,430,300.51/380,569.14
  6. Step 6: Final answer
    x = 286,204.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.