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Finding the Fourth Proportional to 294,266.14, 441,403.32 and 83,904.16

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Solution

The fourth proportional to 294,266.14, 441,403.32 and 83,904.16 is: 125,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,266.14 : 441,403.32 = 83,904.16 : x
  2. Step 2: Convert to fraction form
    294,266.14/441,403.32 = 83,904.16/x
  3. Step 3: Cross multiply
    294,266.14x = 441,403.32 × 83,904.16
  4. Step 4: Simplify right side
    294,266.14x = 37,035,574,785.81
  5. Step 5: Solve for x
    x = 37,035,574,785.81/294,266.14
  6. Step 6: Final answer
    x = 125,857.41

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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.