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Finding the Fourth Proportional to 353,114.64, 529,470 and 116,393.76

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Solution

The fourth proportional to 353,114.64, 529,470 and 116,393.76 is: 174,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.64 : 529,470 = 116,393.76 : x
  2. Step 2: Convert to fraction form
    353,114.64/529,470 = 116,393.76/x
  3. Step 3: Cross multiply
    353,114.64x = 529,470 × 116,393.76
  4. Step 4: Simplify right side
    353,114.64x = 61,627,004,107.20
  5. Step 5: Solve for x
    x = 61,627,004,107.20/353,114.64
  6. Step 6: Final answer
    x = 174,524.07

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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.