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Finding the Fourth Proportional to 298,463.90, 411,895.38 and 169,411.46

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Solution

The fourth proportional to 298,463.90, 411,895.38 and 169,411.46 is: 233,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,463.90 : 411,895.38 = 169,411.46 : x
  2. Step 2: Convert to fraction form
    298,463.90/411,895.38 = 169,411.46/x
  3. Step 3: Cross multiply
    298,463.90x = 411,895.38 × 169,411.46
  4. Step 4: Simplify right side
    298,463.90x = 69,779,797,693.05
  5. Step 5: Solve for x
    x = 69,779,797,693.05/298,463.90
  6. Step 6: Final answer
    x = 233,796.44

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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.