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Finding the Fourth Proportional to 468,573.07, 702,720.32 and 198,697.22

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Solution

The fourth proportional to 468,573.07, 702,720.32 and 198,697.22 is: 297,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,573.07 : 702,720.32 = 198,697.22 : x
  2. Step 2: Convert to fraction form
    468,573.07/702,720.32 = 198,697.22/x
  3. Step 3: Cross multiply
    468,573.07x = 702,720.32 × 198,697.22
  4. Step 4: Simplify right side
    468,573.07x = 139,628,574,021.51
  5. Step 5: Solve for x
    x = 139,628,574,021.51/468,573.07
  6. Step 6: Final answer
    x = 297,986.77

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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.