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Finding the Fourth Proportional to 642,435.80, 963,653.70 and 343,837.40

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Solution

The fourth proportional to 642,435.80, 963,653.70 and 343,837.40 is: 515,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,435.80 : 963,653.70 = 343,837.40 : x
  2. Step 2: Convert to fraction form
    642,435.80/963,653.70 = 343,837.40/x
  3. Step 3: Cross multiply
    642,435.80x = 963,653.70 × 343,837.40
  4. Step 4: Simplify right side
    642,435.80x = 331,340,182,708.38
  5. Step 5: Solve for x
    x = 331,340,182,708.38/642,435.80
  6. Step 6: Final answer
    x = 515,756.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.