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Finding the Fourth Proportional to 602,200, 831,036 and 333,928

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Solution

The fourth proportional to 602,200, 831,036 and 333,928 is: 460,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,200 : 831,036 = 333,928 : x
  2. Step 2: Convert to fraction form
    602,200/831,036 = 333,928/x
  3. Step 3: Cross multiply
    602,200x = 831,036 × 333,928
  4. Step 4: Simplify right side
    602,200x = 277,506,189,408
  5. Step 5: Solve for x
    x = 277,506,189,408/602,200
  6. Step 6: Final answer
    x = 460,820.64

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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.