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Finding the Fourth Proportional to 602,858, 831,982.92 and 334,586

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Solution

The fourth proportional to 602,858, 831,982.92 and 334,586 is: 461,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,858 : 831,982.92 = 334,586 : x
  2. Step 2: Convert to fraction form
    602,858/831,982.92 = 334,586/x
  3. Step 3: Cross multiply
    602,858x = 831,982.92 × 334,586
  4. Step 4: Simplify right side
    602,858x = 278,369,837,271.12
  5. Step 5: Solve for x
    x = 278,369,837,271.12/602,858
  6. Step 6: Final answer
    x = 461,750.26

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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.