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Finding the Fourth Proportional to 297,007.15, 445,346.70 and 97,224.70

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Solution

The fourth proportional to 297,007.15, 445,346.70 and 97,224.70 is: 145,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,007.15 : 445,346.70 = 97,224.70 : x
  2. Step 2: Convert to fraction form
    297,007.15/445,346.70 = 97,224.70/x
  3. Step 3: Cross multiply
    297,007.15x = 445,346.70 × 97,224.70
  4. Step 4: Simplify right side
    297,007.15x = 43,298,699,303.49
  5. Step 5: Solve for x
    x = 43,298,699,303.49/297,007.15
  6. Step 6: Final answer
    x = 145,783.36

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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.