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Finding the Fourth Proportional to 602,014.29, 830,817.05 and 333,742.29

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Solution

The fourth proportional to 602,014.29, 830,817.05 and 333,742.29 is: 460,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,014.29 : 830,817.05 = 333,742.29 : x
  2. Step 2: Convert to fraction form
    602,014.29/830,817.05 = 333,742.29/x
  3. Step 3: Cross multiply
    602,014.29x = 830,817.05 × 333,742.29
  4. Step 4: Simplify right side
    602,014.29x = 277,278,783,169.33
  5. Step 5: Solve for x
    x = 277,278,783,169.33/602,014.29
  6. Step 6: Final answer
    x = 460,585.05

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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.