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Finding the Fourth Proportional to 310,914.80, 465,716.10 and 277,672.40

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Solution

The fourth proportional to 310,914.80, 465,716.10 and 277,672.40 is: 415,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,914.80 : 465,716.10 = 277,672.40 : x
  2. Step 2: Convert to fraction form
    310,914.80/465,716.10 = 277,672.40/x
  3. Step 3: Cross multiply
    310,914.80x = 465,716.10 × 277,672.40
  4. Step 4: Simplify right side
    310,914.80x = 129,316,507,205.64
  5. Step 5: Solve for x
    x = 129,316,507,205.64/310,914.80
  6. Step 6: Final answer
    x = 415,922.65

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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.