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Finding the Fourth Proportional to 337,323, 465,499.50 and 186,416.76

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Solution

The fourth proportional to 337,323, 465,499.50 and 186,416.76 is: 257,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,323 : 465,499.50 = 186,416.76 : x
  2. Step 2: Convert to fraction form
    337,323/465,499.50 = 186,416.76/x
  3. Step 3: Cross multiply
    337,323x = 465,499.50 × 186,416.76
  4. Step 4: Simplify right side
    337,323x = 86,776,908,571.62
  5. Step 5: Solve for x
    x = 86,776,908,571.62/337,323
  6. Step 6: Final answer
    x = 257,251.68

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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.