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Finding the Fourth Proportional to 353,151.84, 487,414.08 and 209,993.60

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Solution

The fourth proportional to 353,151.84, 487,414.08 and 209,993.60 is: 289,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,151.84 : 487,414.08 = 209,993.60 : x
  2. Step 2: Convert to fraction form
    353,151.84/487,414.08 = 209,993.60/x
  3. Step 3: Cross multiply
    353,151.84x = 487,414.08 × 209,993.60
  4. Step 4: Simplify right side
    353,151.84x = 102,353,837,349.89
  5. Step 5: Solve for x
    x = 102,353,837,349.89/353,151.84
  6. Step 6: Final answer
    x = 289,829.55

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1.5x scale

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.