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Finding the Fourth Proportional to 793,078, 1,094,418 and 430,494.12

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Solution

The fourth proportional to 793,078, 1,094,418 and 430,494.12 is: 594,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,078 : 1,094,418 = 430,494.12 : x
  2. Step 2: Convert to fraction form
    793,078/1,094,418 = 430,494.12/x
  3. Step 3: Cross multiply
    793,078x = 1,094,418 × 430,494.12
  4. Step 4: Simplify right side
    793,078x = 471,140,513,822.16
  5. Step 5: Solve for x
    x = 471,140,513,822.16/793,078
  6. Step 6: Final answer
    x = 594,065.80

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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.