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Finding the Fourth Proportional to 403,313.10, 604,969.65 and 122,829.90

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Solution

The fourth proportional to 403,313.10, 604,969.65 and 122,829.90 is: 184,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,313.10 : 604,969.65 = 122,829.90 : x
  2. Step 2: Convert to fraction form
    403,313.10/604,969.65 = 122,829.90/x
  3. Step 3: Cross multiply
    403,313.10x = 604,969.65 × 122,829.90
  4. Step 4: Simplify right side
    403,313.10x = 74,308,361,612.54
  5. Step 5: Solve for x
    x = 74,308,361,612.54/403,313.10
  6. Step 6: Final answer
    x = 184,244.85

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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.