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Finding the Fourth Proportional to 595,830.90, 822,263.66 and 363,271.26

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Solution

The fourth proportional to 595,830.90, 822,263.66 and 363,271.26 is: 501,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,830.90 : 822,263.66 = 363,271.26 : x
  2. Step 2: Convert to fraction form
    595,830.90/822,263.66 = 363,271.26/x
  3. Step 3: Cross multiply
    595,830.90x = 822,263.66 × 363,271.26
  4. Step 4: Simplify right side
    595,830.90x = 298,704,755,820.41
  5. Step 5: Solve for x
    x = 298,704,755,820.41/595,830.90
  6. Step 6: Final answer
    x = 501,324.71

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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.