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Finding the Fourth Proportional to 298,041.53, 411,308.10 and 170,741.73

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Solution

The fourth proportional to 298,041.53, 411,308.10 and 170,741.73 is: 235,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,041.53 : 411,308.10 = 170,741.73 : x
  2. Step 2: Convert to fraction form
    298,041.53/411,308.10 = 170,741.73/x
  3. Step 3: Cross multiply
    298,041.53x = 411,308.10 × 170,741.73
  4. Step 4: Simplify right side
    298,041.53x = 70,227,456,557.01
  5. Step 5: Solve for x
    x = 70,227,456,557.01/298,041.53
  6. Step 6: Final answer
    x = 235,629.77

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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.