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Finding the Fourth Proportional to 310,255.99, 464,953.41 and 141,363.56

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Solution

The fourth proportional to 310,255.99, 464,953.41 and 141,363.56 is: 211,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,255.99 : 464,953.41 = 141,363.56 : x
  2. Step 2: Convert to fraction form
    310,255.99/464,953.41 = 141,363.56/x
  3. Step 3: Cross multiply
    310,255.99x = 464,953.41 × 141,363.56
  4. Step 4: Simplify right side
    310,255.99x = 65,727,470,434.12
  5. Step 5: Solve for x
    x = 65,727,470,434.12/310,255.99
  6. Step 6: Final answer
    x = 211,849.16

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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.