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Finding the Fourth Proportional to 602,165.30, 831,025.42 and 333,893.30

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Solution

The fourth proportional to 602,165.30, 831,025.42 and 333,893.30 is: 460,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,165.30 : 831,025.42 = 333,893.30 : x
  2. Step 2: Convert to fraction form
    602,165.30/831,025.42 = 333,893.30/x
  3. Step 3: Cross multiply
    602,165.30x = 831,025.42 × 333,893.30
  4. Step 4: Simplify right side
    602,165.30x = 277,473,819,867.69
  5. Step 5: Solve for x
    x = 277,473,819,867.69/602,165.30
  6. Step 6: Final answer
    x = 460,793.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.