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Finding the Fourth Proportional to 601,606.14, 830,216.50 and 333,334.14

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Solution

The fourth proportional to 601,606.14, 830,216.50 and 333,334.14 is: 460,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,606.14 : 830,216.50 = 333,334.14 : x
  2. Step 2: Convert to fraction form
    601,606.14/830,216.50 = 333,334.14/x
  3. Step 3: Cross multiply
    601,606.14x = 830,216.50 × 333,334.14
  4. Step 4: Simplify right side
    601,606.14x = 276,739,503,041.31
  5. Step 5: Solve for x
    x = 276,739,503,041.31/601,606.14
  6. Step 6: Final answer
    x = 460,001.13

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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.