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Finding the Fourth Proportional to 364,547.70, 503,064.02 and 198,969.32

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Solution

The fourth proportional to 364,547.70, 503,064.02 and 198,969.32 is: 274,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,547.70 : 503,064.02 = 198,969.32 : x
  2. Step 2: Convert to fraction form
    364,547.70/503,064.02 = 198,969.32/x
  3. Step 3: Cross multiply
    364,547.70x = 503,064.02 × 198,969.32
  4. Step 4: Simplify right side
    364,547.70x = 100,094,305,975.87
  5. Step 5: Solve for x
    x = 100,094,305,975.87/364,547.70
  6. Step 6: Final answer
    x = 274,571.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.