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Finding the Fourth Proportional to 602,013.54, 830,816.01 and 333,741.54

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Solution

The fourth proportional to 602,013.54, 830,816.01 and 333,741.54 is: 460,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,013.54 : 830,816.01 = 333,741.54 : x
  2. Step 2: Convert to fraction form
    602,013.54/830,816.01 = 333,741.54/x
  3. Step 3: Cross multiply
    602,013.54x = 830,816.01 × 333,741.54
  4. Step 4: Simplify right side
    602,013.54x = 277,277,814,634.06
  5. Step 5: Solve for x
    x = 277,277,814,634.06/602,013.54
  6. Step 6: Final answer
    x = 460,584.02

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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.