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Finding the Fourth Proportional to 359,462.10, 496,059.36 and 198,317.10

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Solution

The fourth proportional to 359,462.10, 496,059.36 and 198,317.10 is: 273,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,462.10 : 496,059.36 = 198,317.10 : x
  2. Step 2: Convert to fraction form
    359,462.10/496,059.36 = 198,317.10/x
  3. Step 3: Cross multiply
    359,462.10x = 496,059.36 × 198,317.10
  4. Step 4: Simplify right side
    359,462.10x = 98,377,053,703.06
  5. Step 5: Solve for x
    x = 98,377,053,703.06/359,462.10
  6. Step 6: Final answer
    x = 273,678.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.