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Finding the Fourth Proportional to 359,654.25, 496,322.87 and 200,678.25

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Solution

The fourth proportional to 359,654.25, 496,322.87 and 200,678.25 is: 276,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,654.25 : 496,322.87 = 200,678.25 : x
  2. Step 2: Convert to fraction form
    359,654.25/496,322.87 = 200,678.25/x
  3. Step 3: Cross multiply
    359,654.25x = 496,322.87 × 200,678.25
  4. Step 4: Simplify right side
    359,654.25x = 99,601,203,983.19
  5. Step 5: Solve for x
    x = 99,601,203,983.19/359,654.25
  6. Step 6: Final answer
    x = 276,935.99

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1.5x scale

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.