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Finding the Fourth Proportional to 298,294.72, 411,648.08 and 170,977.76

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Solution

The fourth proportional to 298,294.72, 411,648.08 and 170,977.76 is: 235,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,294.72 : 411,648.08 = 170,977.76 : x
  2. Step 2: Convert to fraction form
    298,294.72/411,648.08 = 170,977.76/x
  3. Step 3: Cross multiply
    298,294.72x = 411,648.08 × 170,977.76
  4. Step 4: Simplify right side
    298,294.72x = 70,382,666,626.70
  5. Step 5: Solve for x
    x = 70,382,666,626.70/298,294.72
  6. Step 6: Final answer
    x = 235,950.09

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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.