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Finding the Fourth Proportional to 601,609.14, 830,220.63 and 333,337.14

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Solution

The fourth proportional to 601,609.14, 830,220.63 and 333,337.14 is: 460,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,609.14 : 830,220.63 = 333,337.14 : x
  2. Step 2: Convert to fraction form
    601,609.14/830,220.63 = 333,337.14/x
  3. Step 3: Cross multiply
    601,609.14x = 830,220.63 × 333,337.14
  4. Step 4: Simplify right side
    601,609.14x = 276,743,370,373.20
  5. Step 5: Solve for x
    x = 276,743,370,373.20/601,609.14
  6. Step 6: Final answer
    x = 460,005.26

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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.