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Finding the Fourth Proportional to 548,649.60, 822,830.40 and 232,944

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Solution

The fourth proportional to 548,649.60, 822,830.40 and 232,944 is: 349,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,649.60 : 822,830.40 = 232,944 : x
  2. Step 2: Convert to fraction form
    548,649.60/822,830.40 = 232,944/x
  3. Step 3: Cross multiply
    548,649.60x = 822,830.40 × 232,944
  4. Step 4: Simplify right side
    548,649.60x = 191,673,404,697.60
  5. Step 5: Solve for x
    x = 191,673,404,697.60/548,649.60
  6. Step 6: Final answer
    x = 349,354.86

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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.