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Finding the Fourth Proportional to 401,409.60, 602,114.40 and 211,796.70

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Solution

The fourth proportional to 401,409.60, 602,114.40 and 211,796.70 is: 317,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,409.60 : 602,114.40 = 211,796.70 : x
  2. Step 2: Convert to fraction form
    401,409.60/602,114.40 = 211,796.70/x
  3. Step 3: Cross multiply
    401,409.60x = 602,114.40 × 211,796.70
  4. Step 4: Simplify right side
    401,409.60x = 127,525,842,942.48
  5. Step 5: Solve for x
    x = 127,525,842,942.48/401,409.60
  6. Step 6: Final answer
    x = 317,695.05

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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.