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Finding the Fourth Proportional to 505,826.37, 697,735.01 and 333,683.20

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Solution

The fourth proportional to 505,826.37, 697,735.01 and 333,683.20 is: 460,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,826.37 : 697,735.01 = 333,683.20 : x
  2. Step 2: Convert to fraction form
    505,826.37/697,735.01 = 333,683.20/x
  3. Step 3: Cross multiply
    505,826.37x = 697,735.01 × 333,683.20
  4. Step 4: Simplify right side
    505,826.37x = 232,822,448,670.45
  5. Step 5: Solve for x
    x = 232,822,448,670.45/505,826.37
  6. Step 6: Final answer
    x = 460,281.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.