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Finding the Fourth Proportional to 295,777.29, 408,149.51 and 168,428.01

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Solution

The fourth proportional to 295,777.29, 408,149.51 and 168,428.01 is: 232,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,777.29 : 408,149.51 = 168,428.01 : x
  2. Step 2: Convert to fraction form
    295,777.29/408,149.51 = 168,428.01/x
  3. Step 3: Cross multiply
    295,777.29x = 408,149.51 × 168,428.01
  4. Step 4: Simplify right side
    295,777.29x = 68,743,808,909.64
  5. Step 5: Solve for x
    x = 68,743,808,909.64/295,777.29
  6. Step 6: Final answer
    x = 232,417.47

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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.