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Finding the Fourth Proportional to 359,825.76, 539,051.76 and 201,575.52

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Solution

The fourth proportional to 359,825.76, 539,051.76 and 201,575.52 is: 301,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,825.76 : 539,051.76 = 201,575.52 : x
  2. Step 2: Convert to fraction form
    359,825.76/539,051.76 = 201,575.52/x
  3. Step 3: Cross multiply
    359,825.76x = 539,051.76 × 201,575.52
  4. Step 4: Simplify right side
    359,825.76x = 108,659,638,828.92
  5. Step 5: Solve for x
    x = 108,659,638,828.92/359,825.76
  6. Step 6: Final answer
    x = 301,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.