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Finding the Fourth Proportional to 323,140.86, 446,008.68 and 209,766.78

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Solution

The fourth proportional to 323,140.86, 446,008.68 and 209,766.78 is: 289,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,140.86 : 446,008.68 = 209,766.78 : x
  2. Step 2: Convert to fraction form
    323,140.86/446,008.68 = 209,766.78/x
  3. Step 3: Cross multiply
    323,140.86x = 446,008.68 × 209,766.78
  4. Step 4: Simplify right side
    323,140.86x = 93,557,804,655.65
  5. Step 5: Solve for x
    x = 93,557,804,655.65/323,140.86
  6. Step 6: Final answer
    x = 289,526.38

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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.