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Finding the Fourth Proportional to 294,355.32, 441,537 and 83,993.16

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Solution

The fourth proportional to 294,355.32, 441,537 and 83,993.16 is: 125,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,355.32 : 441,537 = 83,993.16 : x
  2. Step 2: Convert to fraction form
    294,355.32/441,537 = 83,993.16/x
  3. Step 3: Cross multiply
    294,355.32x = 441,537 × 83,993.16
  4. Step 4: Simplify right side
    294,355.32x = 37,086,087,886.92
  5. Step 5: Solve for x
    x = 37,086,087,886.92/294,355.32
  6. Step 6: Final answer
    x = 125,990.89

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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.