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Finding the Fourth Proportional to 282,294, 423,441.63 and 198,429.46

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Solution

The fourth proportional to 282,294, 423,441.63 and 198,429.46 is: 297,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,294 : 423,441.63 = 198,429.46 : x
  2. Step 2: Convert to fraction form
    282,294/423,441.63 = 198,429.46/x
  3. Step 3: Cross multiply
    282,294x = 423,441.63 × 198,429.46
  4. Step 4: Simplify right side
    282,294x = 84,023,292,923.82
  5. Step 5: Solve for x
    x = 84,023,292,923.82/282,294
  6. Step 6: Final answer
    x = 297,644.63

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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.