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Finding the Fourth Proportional to 475,354.62, 712,552.14 and 297,986.22

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Solution

The fourth proportional to 475,354.62, 712,552.14 and 297,986.22 is: 446,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,354.62 : 712,552.14 = 297,986.22 : x
  2. Step 2: Convert to fraction form
    475,354.62/712,552.14 = 297,986.22/x
  3. Step 3: Cross multiply
    475,354.62x = 712,552.14 × 297,986.22
  4. Step 4: Simplify right side
    475,354.62x = 212,330,718,751.51
  5. Step 5: Solve for x
    x = 212,330,718,751.51/475,354.62
  6. Step 6: Final answer
    x = 446,678.56

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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.