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Finding the Fourth Proportional to 359,447.02, 496,038.53 and 198,302.01

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Solution

The fourth proportional to 359,447.02, 496,038.53 and 198,302.01 is: 273,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,447.02 : 496,038.53 = 198,302.01 : x
  2. Step 2: Convert to fraction form
    359,447.02/496,038.53 = 198,302.01/x
  3. Step 3: Cross multiply
    359,447.02x = 496,038.53 × 198,302.01
  4. Step 4: Simplify right side
    359,447.02x = 98,365,436,172.06
  5. Step 5: Solve for x
    x = 98,365,436,172.06/359,447.02
  6. Step 6: Final answer
    x = 273,657.68

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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.