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Finding the Fourth Proportional to 403,313.40, 604,970.10 and 122,794.20

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Solution

The fourth proportional to 403,313.40, 604,970.10 and 122,794.20 is: 184,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,313.40 : 604,970.10 = 122,794.20 : x
  2. Step 2: Convert to fraction form
    403,313.40/604,970.10 = 122,794.20/x
  3. Step 3: Cross multiply
    403,313.40x = 604,970.10 × 122,794.20
  4. Step 4: Simplify right side
    403,313.40x = 74,286,819,453.42
  5. Step 5: Solve for x
    x = 74,286,819,453.42/403,313.40
  6. Step 6: Final answer
    x = 184,191.30

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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.