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Finding the Fourth Proportional to 475,332.68, 712,519.25 and 297,964.25

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Solution

The fourth proportional to 475,332.68, 712,519.25 and 297,964.25 is: 446,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,332.68 : 712,519.25 = 297,964.25 : x
  2. Step 2: Convert to fraction form
    475,332.68/712,519.25 = 297,964.25/x
  3. Step 3: Cross multiply
    475,332.68x = 712,519.25 × 297,964.25
  4. Step 4: Simplify right side
    475,332.68x = 212,305,263,936.81
  5. Step 5: Solve for x
    x = 212,305,263,936.81/475,332.68
  6. Step 6: Final answer
    x = 446,645.63

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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.