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Finding the Fourth Proportional to 364,536, 503,079.12 and 213,681.60

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Solution

The fourth proportional to 364,536, 503,079.12 and 213,681.60 is: 294,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,536 : 503,079.12 = 213,681.60 : x
  2. Step 2: Convert to fraction form
    364,536/503,079.12 = 213,681.60/x
  3. Step 3: Cross multiply
    364,536x = 503,079.12 × 213,681.60
  4. Step 4: Simplify right side
    364,536x = 107,498,751,288.19
  5. Step 5: Solve for x
    x = 107,498,751,288.19/364,536
  6. Step 6: Final answer
    x = 294,892.00

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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.