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Finding the Fourth Proportional to 359,483.16, 496,102.59 and 206,569.32

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Solution

The fourth proportional to 359,483.16, 496,102.59 and 206,569.32 is: 285,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,483.16 : 496,102.59 = 206,569.32 : x
  2. Step 2: Convert to fraction form
    359,483.16/496,102.59 = 206,569.32/x
  3. Step 3: Cross multiply
    359,483.16x = 496,102.59 × 206,569.32
  4. Step 4: Simplify right side
    359,483.16x = 102,479,574,666.54
  5. Step 5: Solve for x
    x = 102,479,574,666.54/359,483.16
  6. Step 6: Final answer
    x = 285,074.76

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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.