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Finding the Fourth Proportional to 310,169.80, 465,254.70 and 297,047.80

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Solution

The fourth proportional to 310,169.80, 465,254.70 and 297,047.80 is: 445,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,169.80 : 465,254.70 = 297,047.80 : x
  2. Step 2: Convert to fraction form
    310,169.80/465,254.70 = 297,047.80/x
  3. Step 3: Cross multiply
    310,169.80x = 465,254.70 × 297,047.80
  4. Step 4: Simplify right side
    310,169.80x = 138,202,885,074.66
  5. Step 5: Solve for x
    x = 138,202,885,074.66/310,169.80
  6. Step 6: Final answer
    x = 445,571.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.