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Finding the Fourth Proportional to 359,834.73, 496,392.57 and 214,538.04

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Solution

The fourth proportional to 359,834.73, 496,392.57 and 214,538.04 is: 295,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,834.73 : 496,392.57 = 214,538.04 : x
  2. Step 2: Convert to fraction form
    359,834.73/496,392.57 = 214,538.04/x
  3. Step 3: Cross multiply
    359,834.73x = 496,392.57 × 214,538.04
  4. Step 4: Simplify right side
    359,834.73x = 106,495,089,038.36
  5. Step 5: Solve for x
    x = 106,495,089,038.36/359,834.73
  6. Step 6: Final answer
    x = 295,955.56

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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.