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Finding the Fourth Proportional to 359,433, 496,017.54 and 200,457

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Solution

The fourth proportional to 359,433, 496,017.54 and 200,457 is: 276,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,433 : 496,017.54 = 200,457 : x
  2. Step 2: Convert to fraction form
    359,433/496,017.54 = 200,457/x
  3. Step 3: Cross multiply
    359,433x = 496,017.54 × 200,457
  4. Step 4: Simplify right side
    359,433x = 99,430,188,015.78
  5. Step 5: Solve for x
    x = 99,430,188,015.78/359,433
  6. Step 6: Final answer
    x = 276,630.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.