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Finding the Fourth Proportional to 359,378.34, 496,101.52 and 232,116

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Solution

The fourth proportional to 359,378.34, 496,101.52 and 232,116 is: 320,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,378.34 : 496,101.52 = 232,116 : x
  2. Step 2: Convert to fraction form
    359,378.34/496,101.52 = 232,116/x
  3. Step 3: Cross multiply
    359,378.34x = 496,101.52 × 232,116
  4. Step 4: Simplify right side
    359,378.34x = 115,153,100,416.32
  5. Step 5: Solve for x
    x = 115,153,100,416.32/359,378.34
  6. Step 6: Final answer
    x = 320,423.04

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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.