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Finding the Fourth Proportional to 359,740.44, 496,315.49 and 214,509.06

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Solution

The fourth proportional to 359,740.44, 496,315.49 and 214,509.06 is: 295,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,740.44 : 496,315.49 = 214,509.06 : x
  2. Step 2: Convert to fraction form
    359,740.44/496,315.49 = 214,509.06/x
  3. Step 3: Cross multiply
    359,740.44x = 496,315.49 × 214,509.06
  4. Step 4: Simplify right side
    359,740.44x = 106,464,168,150.79
  5. Step 5: Solve for x
    x = 106,464,168,150.79/359,740.44
  6. Step 6: Final answer
    x = 295,947.18

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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.