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Finding the Fourth Proportional to 602,756, 831,842.16 and 334,484

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Solution

The fourth proportional to 602,756, 831,842.16 and 334,484 is: 461,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,756 : 831,842.16 = 334,484 : x
  2. Step 2: Convert to fraction form
    602,756/831,842.16 = 334,484/x
  3. Step 3: Cross multiply
    602,756x = 831,842.16 × 334,484
  4. Step 4: Simplify right side
    602,756x = 278,237,893,045.44
  5. Step 5: Solve for x
    x = 278,237,893,045.44/602,756
  6. Step 6: Final answer
    x = 461,609.50

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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.