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Finding the Fourth Proportional to 490,202.16, 735,365.88 and 174,690.96

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Solution

The fourth proportional to 490,202.16, 735,365.88 and 174,690.96 is: 262,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,202.16 : 735,365.88 = 174,690.96 : x
  2. Step 2: Convert to fraction form
    490,202.16/735,365.88 = 174,690.96/x
  3. Step 3: Cross multiply
    490,202.16x = 735,365.88 × 174,690.96
  4. Step 4: Simplify right side
    490,202.16x = 128,461,771,528.45
  5. Step 5: Solve for x
    x = 128,461,771,528.45/490,202.16
  6. Step 6: Final answer
    x = 262,058.76

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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.