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Finding the Fourth Proportional to 448,084.96, 670,547.94 and 279,684.34

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Solution

The fourth proportional to 448,084.96, 670,547.94 and 279,684.34 is: 418,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,084.96 : 670,547.94 = 279,684.34 : x
  2. Step 2: Convert to fraction form
    448,084.96/670,547.94 = 279,684.34/x
  3. Step 3: Cross multiply
    448,084.96x = 670,547.94 × 279,684.34
  4. Step 4: Simplify right side
    448,084.96x = 187,541,758,037.26
  5. Step 5: Solve for x
    x = 187,541,758,037.26/448,084.96
  6. Step 6: Final answer
    x = 418,540.62

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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.