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Finding the Fourth Proportional to 333,471.18, 460,455.59 and 307,968.24

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Solution

The fourth proportional to 333,471.18, 460,455.59 and 307,968.24 is: 425,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,471.18 : 460,455.59 = 307,968.24 : x
  2. Step 2: Convert to fraction form
    333,471.18/460,455.59 = 307,968.24/x
  3. Step 3: Cross multiply
    333,471.18x = 460,455.59 × 307,968.24
  4. Step 4: Simplify right side
    333,471.18x = 141,805,697,650.46
  5. Step 5: Solve for x
    x = 141,805,697,650.46/333,471.18
  6. Step 6: Final answer
    x = 425,241.24

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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.