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Finding the Fourth Proportional to 353,199.80, 529,022.10 and 313,801.40

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Solution

The fourth proportional to 353,199.80, 529,022.10 and 313,801.40 is: 470,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,199.80 : 529,022.10 = 313,801.40 : x
  2. Step 2: Convert to fraction form
    353,199.80/529,022.10 = 313,801.40/x
  3. Step 3: Cross multiply
    353,199.80x = 529,022.10 × 313,801.40
  4. Step 4: Simplify right side
    353,199.80x = 166,007,875,610.94
  5. Step 5: Solve for x
    x = 166,007,875,610.94/353,199.80
  6. Step 6: Final answer
    x = 470,011.24

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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.