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Finding the Fourth Proportional to 310,364.82, 464,901.30 and 299,658.24

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Solution

The fourth proportional to 310,364.82, 464,901.30 and 299,658.24 is: 448,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,364.82 : 464,901.30 = 299,658.24 : x
  2. Step 2: Convert to fraction form
    310,364.82/464,901.30 = 299,658.24/x
  3. Step 3: Cross multiply
    310,364.82x = 464,901.30 × 299,658.24
  4. Step 4: Simplify right side
    310,364.82x = 139,311,505,331.71
  5. Step 5: Solve for x
    x = 139,311,505,331.71/310,364.82
  6. Step 6: Final answer
    x = 448,863.71

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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.