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Finding the Fourth Proportional to 359,713.14, 496,407.59 and 198,564.72

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Solution

The fourth proportional to 359,713.14, 496,407.59 and 198,564.72 is: 274,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,713.14 : 496,407.59 = 198,564.72 : x
  2. Step 2: Convert to fraction form
    359,713.14/496,407.59 = 198,564.72/x
  3. Step 3: Cross multiply
    359,713.14x = 496,407.59 × 198,564.72
  4. Step 4: Simplify right side
    359,713.14x = 98,569,034,114.22
  5. Step 5: Solve for x
    x = 98,569,034,114.22/359,713.14
  6. Step 6: Final answer
    x = 274,021.22

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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.