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Finding the Fourth Proportional to 359,459.81, 496,051.11 and 198,316.16

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Solution

The fourth proportional to 359,459.81, 496,051.11 and 198,316.16 is: 273,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,459.81 : 496,051.11 = 198,316.16 : x
  2. Step 2: Convert to fraction form
    359,459.81/496,051.11 = 198,316.16/x
  3. Step 3: Cross multiply
    359,459.81x = 496,051.11 × 198,316.16
  4. Step 4: Simplify right side
    359,459.81x = 98,374,948,818.68
  5. Step 5: Solve for x
    x = 98,374,948,818.68/359,459.81
  6. Step 6: Final answer
    x = 273,674.41

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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.