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Finding the Fourth Proportional to 310,322.07, 465,482.26 and 82,617.69

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Solution

The fourth proportional to 310,322.07, 465,482.26 and 82,617.69 is: 123,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,322.07 : 465,482.26 = 82,617.69 : x
  2. Step 2: Convert to fraction form
    310,322.07/465,482.26 = 82,617.69/x
  3. Step 3: Cross multiply
    310,322.07x = 465,482.26 × 82,617.69
  4. Step 4: Simplify right side
    310,322.07x = 38,457,069,057.18
  5. Step 5: Solve for x
    x = 38,457,069,057.18/310,322.07
  6. Step 6: Final answer
    x = 123,926.31

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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.