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Finding the Fourth Proportional to 343,471.96, 473,992.96 and 190,499.50

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Solution

The fourth proportional to 343,471.96, 473,992.96 and 190,499.50 is: 262,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,471.96 : 473,992.96 = 190,499.50 : x
  2. Step 2: Convert to fraction form
    343,471.96/473,992.96 = 190,499.50/x
  3. Step 3: Cross multiply
    343,471.96x = 473,992.96 × 190,499.50
  4. Step 4: Simplify right side
    343,471.96x = 90,295,421,883.52
  5. Step 5: Solve for x
    x = 90,295,421,883.52/343,471.96
  6. Step 6: Final answer
    x = 262,890.23

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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.