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Finding the Fourth Proportional to 448,854, 673,426.80 and 314,057.04

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Solution

The fourth proportional to 448,854, 673,426.80 and 314,057.04 is: 471,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,854 : 673,426.80 = 314,057.04 : x
  2. Step 2: Convert to fraction form
    448,854/673,426.80 = 314,057.04/x
  3. Step 3: Cross multiply
    448,854x = 673,426.80 × 314,057.04
  4. Step 4: Simplify right side
    448,854x = 211,494,427,464.67
  5. Step 5: Solve for x
    x = 211,494,427,464.67/448,854
  6. Step 6: Final answer
    x = 471,187.57

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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.