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Finding the Fourth Proportional to 294,309.60, 441,464.40 and 72,693.60

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Solution

The fourth proportional to 294,309.60, 441,464.40 and 72,693.60 is: 109,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,309.60 : 441,464.40 = 72,693.60 : x
  2. Step 2: Convert to fraction form
    294,309.60/441,464.40 = 72,693.60/x
  3. Step 3: Cross multiply
    294,309.60x = 441,464.40 × 72,693.60
  4. Step 4: Simplify right side
    294,309.60x = 32,091,636,507.84
  5. Step 5: Solve for x
    x = 32,091,636,507.84/294,309.60
  6. Step 6: Final answer
    x = 109,040.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.