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Finding the Fourth Proportional to 359,390.96, 539,086.44 and 201,730.16

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Solution

The fourth proportional to 359,390.96, 539,086.44 and 201,730.16 is: 302,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,390.96 : 539,086.44 = 201,730.16 : x
  2. Step 2: Convert to fraction form
    359,390.96/539,086.44 = 201,730.16/x
  3. Step 3: Cross multiply
    359,390.96x = 539,086.44 × 201,730.16
  4. Step 4: Simplify right side
    359,390.96x = 108,749,993,795.03
  5. Step 5: Solve for x
    x = 108,749,993,795.03/359,390.96
  6. Step 6: Final answer
    x = 302,595.24

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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.