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Finding the Fourth Proportional to 359,734.35, 496,437.42 and 198,589.48

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Solution

The fourth proportional to 359,734.35, 496,437.42 and 198,589.48 is: 274,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,734.35 : 496,437.42 = 198,589.48 : x
  2. Step 2: Convert to fraction form
    359,734.35/496,437.42 = 198,589.48/x
  3. Step 3: Cross multiply
    359,734.35x = 496,437.42 × 198,589.48
  4. Step 4: Simplify right side
    359,734.35x = 98,587,249,090.34
  5. Step 5: Solve for x
    x = 98,587,249,090.34/359,734.35
  6. Step 6: Final answer
    x = 274,055.70

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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.