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Finding the Fourth Proportional to 649,698.89, 973,894.11 and 270,829.40

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Solution

The fourth proportional to 649,698.89, 973,894.11 and 270,829.40 is: 405,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,698.89 : 973,894.11 = 270,829.40 : x
  2. Step 2: Convert to fraction form
    649,698.89/973,894.11 = 270,829.40/x
  3. Step 3: Cross multiply
    649,698.89x = 973,894.11 × 270,829.40
  4. Step 4: Simplify right side
    649,698.89x = 263,759,152,605.36
  5. Step 5: Solve for x
    x = 263,759,152,605.36/649,698.89
  6. Step 6: Final answer
    x = 405,971.38

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1.5x scale

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.