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Finding the Fourth Proportional to 310,617.09, 465,925.64 and 100,286.01

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Solution

The fourth proportional to 310,617.09, 465,925.64 and 100,286.01 is: 150,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617.09 : 465,925.64 = 100,286.01 : x
  2. Step 2: Convert to fraction form
    310,617.09/465,925.64 = 100,286.01/x
  3. Step 3: Cross multiply
    310,617.09x = 465,925.64 × 100,286.01
  4. Step 4: Simplify right side
    310,617.09x = 46,725,823,392.30
  5. Step 5: Solve for x
    x = 46,725,823,392.30/310,617.09
  6. Step 6: Final answer
    x = 150,429.02

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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.