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Finding the Fourth Proportional to 294,065.40, 441,098.10 and 211,121.40

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Solution

The fourth proportional to 294,065.40, 441,098.10 and 211,121.40 is: 316,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,065.40 : 441,098.10 = 211,121.40 : x
  2. Step 2: Convert to fraction form
    294,065.40/441,098.10 = 211,121.40/x
  3. Step 3: Cross multiply
    294,065.40x = 441,098.10 × 211,121.40
  4. Step 4: Simplify right side
    294,065.40x = 93,125,248,409.34
  5. Step 5: Solve for x
    x = 93,125,248,409.34/294,065.40
  6. Step 6: Final answer
    x = 316,682.10

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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.