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Finding the Fourth Proportional to 294,962.40, 442,443.60 and 73,346.40

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Solution

The fourth proportional to 294,962.40, 442,443.60 and 73,346.40 is: 110,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,962.40 : 442,443.60 = 73,346.40 : x
  2. Step 2: Convert to fraction form
    294,962.40/442,443.60 = 73,346.40/x
  3. Step 3: Cross multiply
    294,962.40x = 442,443.60 × 73,346.40
  4. Step 4: Simplify right side
    294,962.40x = 32,451,645,263.04
  5. Step 5: Solve for x
    x = 32,451,645,263.04/294,962.40
  6. Step 6: Final answer
    x = 110,019.60

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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.