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Finding the Fourth Proportional to 602,421.48, 831,329.28 and 334,149.48

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Solution

The fourth proportional to 602,421.48, 831,329.28 and 334,149.48 is: 461,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,421.48 : 831,329.28 = 334,149.48 : x
  2. Step 2: Convert to fraction form
    602,421.48/831,329.28 = 334,149.48/x
  3. Step 3: Cross multiply
    602,421.48x = 831,329.28 × 334,149.48
  4. Step 4: Simplify right side
    602,421.48x = 277,788,246,620.77
  5. Step 5: Solve for x
    x = 277,788,246,620.77/602,421.48
  6. Step 6: Final answer
    x = 461,119.43

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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.