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Finding the Fourth Proportional to 359,554.91, 496,182.64 and 196,214.64

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Solution

The fourth proportional to 359,554.91, 496,182.64 and 196,214.64 is: 270,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,554.91 : 496,182.64 = 196,214.64 : x
  2. Step 2: Convert to fraction form
    359,554.91/496,182.64 = 196,214.64/x
  3. Step 3: Cross multiply
    359,554.91x = 496,182.64 × 196,214.64
  4. Step 4: Simplify right side
    359,554.91x = 97,358,298,081.85
  5. Step 5: Solve for x
    x = 97,358,298,081.85/359,554.91
  6. Step 6: Final answer
    x = 270,774.50

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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.