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Finding the Fourth Proportional to 602,734, 831,811.80 and 334,462

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Solution

The fourth proportional to 602,734, 831,811.80 and 334,462 is: 461,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,734 : 831,811.80 = 334,462 : x
  2. Step 2: Convert to fraction form
    602,734/831,811.80 = 334,462/x
  3. Step 3: Cross multiply
    602,734x = 831,811.80 × 334,462
  4. Step 4: Simplify right side
    602,734x = 278,209,438,251.60
  5. Step 5: Solve for x
    x = 278,209,438,251.60/602,734
  6. Step 6: Final answer
    x = 461,579.13

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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.