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Finding the Fourth Proportional to 297,491, 446,141.86 and 97,765.16

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Solution

The fourth proportional to 297,491, 446,141.86 and 97,765.16 is: 146,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491 : 446,141.86 = 97,765.16 : x
  2. Step 2: Convert to fraction form
    297,491/446,141.86 = 97,765.16/x
  3. Step 3: Cross multiply
    297,491x = 446,141.86 × 97,765.16
  4. Step 4: Simplify right side
    297,491x = 43,617,130,325.60
  5. Step 5: Solve for x
    x = 43,617,130,325.60/297,491
  6. Step 6: Final answer
    x = 146,616.64

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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.