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Finding the Fourth Proportional to 464,429.80, 697,292.70 and 296,986.60

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Solution

The fourth proportional to 464,429.80, 697,292.70 and 296,986.60 is: 445,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,429.80 : 697,292.70 = 296,986.60 : x
  2. Step 2: Convert to fraction form
    464,429.80/697,292.70 = 296,986.60/x
  3. Step 3: Cross multiply
    464,429.80x = 697,292.70 × 296,986.60
  4. Step 4: Simplify right side
    464,429.80x = 207,086,588,177.82
  5. Step 5: Solve for x
    x = 207,086,588,177.82/464,429.80
  6. Step 6: Final answer
    x = 445,894.27

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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.