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Finding the Fourth Proportional to 294,303.05, 406,014.32 and 185,214.14

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Solution

The fourth proportional to 294,303.05, 406,014.32 and 185,214.14 is: 255,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,303.05 : 406,014.32 = 185,214.14 : x
  2. Step 2: Convert to fraction form
    294,303.05/406,014.32 = 185,214.14/x
  3. Step 3: Cross multiply
    294,303.05x = 406,014.32 × 185,214.14
  4. Step 4: Simplify right side
    294,303.05x = 75,199,590,150.34
  5. Step 5: Solve for x
    x = 75,199,590,150.34/294,303.05
  6. Step 6: Final answer
    x = 255,517.54

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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.