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Finding the Fourth Proportional to 602,818.50, 831,889.53 and 334,546.50

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Solution

The fourth proportional to 602,818.50, 831,889.53 and 334,546.50 is: 461,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,818.50 : 831,889.53 = 334,546.50 : x
  2. Step 2: Convert to fraction form
    602,818.50/831,889.53 = 334,546.50/x
  3. Step 3: Cross multiply
    602,818.50x = 831,889.53 × 334,546.50
  4. Step 4: Simplify right side
    602,818.50x = 278,305,730,648.15
  5. Step 5: Solve for x
    x = 278,305,730,648.15/602,818.50
  6. Step 6: Final answer
    x = 461,674.17

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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.