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Finding the Fourth Proportional to 462,925.26, 693,255.51 and 418,048.02

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Solution

The fourth proportional to 462,925.26, 693,255.51 and 418,048.02 is: 626,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,925.26 : 693,255.51 = 418,048.02 : x
  2. Step 2: Convert to fraction form
    462,925.26/693,255.51 = 418,048.02/x
  3. Step 3: Cross multiply
    462,925.26x = 693,255.51 × 418,048.02
  4. Step 4: Simplify right side
    462,925.26x = 289,814,093,309.59
  5. Step 5: Solve for x
    x = 289,814,093,309.59/462,925.26
  6. Step 6: Final answer
    x = 626,049.43

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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.