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Finding the Fourth Proportional to 468,274.14, 702,624.51 and 198,476.10

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Solution

The fourth proportional to 468,274.14, 702,624.51 and 198,476.10 is: 297,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,274.14 : 702,624.51 = 198,476.10 : x
  2. Step 2: Convert to fraction form
    468,274.14/702,624.51 = 198,476.10/x
  3. Step 3: Cross multiply
    468,274.14x = 702,624.51 × 198,476.10
  4. Step 4: Simplify right side
    468,274.14x = 139,454,172,509.21
  5. Step 5: Solve for x
    x = 139,454,172,509.21/468,274.14
  6. Step 6: Final answer
    x = 297,804.56

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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.