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Finding the Fourth Proportional to 313,846.94, 470,661.32 and 133,925.10

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Solution

The fourth proportional to 313,846.94, 470,661.32 and 133,925.10 is: 200,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.94 : 470,661.32 = 133,925.10 : x
  2. Step 2: Convert to fraction form
    313,846.94/470,661.32 = 133,925.10/x
  3. Step 3: Cross multiply
    313,846.94x = 470,661.32 × 133,925.10
  4. Step 4: Simplify right side
    313,846.94x = 63,033,364,347.13
  5. Step 5: Solve for x
    x = 63,033,364,347.13/313,846.94
  6. Step 6: Final answer
    x = 200,841.10

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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.