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Finding the Fourth Proportional to 962,938, 1,328,853.60 and 533,218.12

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Solution

The fourth proportional to 962,938, 1,328,853.60 and 533,218.12 is: 735,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,938 : 1,328,853.60 = 533,218.12 : x
  2. Step 2: Convert to fraction form
    962,938/1,328,853.60 = 533,218.12/x
  3. Step 3: Cross multiply
    962,938x = 1,328,853.60 × 533,218.12
  4. Step 4: Simplify right side
    962,938x = 708,568,818,347.23
  5. Step 5: Solve for x
    x = 708,568,818,347.23/962,938
  6. Step 6: Final answer
    x = 735,840.54

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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.