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Finding the Fourth Proportional to 364,000.38, 502,322.21 and 211,129.08

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Solution

The fourth proportional to 364,000.38, 502,322.21 and 211,129.08 is: 291,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,000.38 : 502,322.21 = 211,129.08 : x
  2. Step 2: Convert to fraction form
    364,000.38/502,322.21 = 211,129.08/x
  3. Step 3: Cross multiply
    364,000.38x = 502,322.21 × 211,129.08
  4. Step 4: Simplify right side
    364,000.38x = 106,054,827,680.66
  5. Step 5: Solve for x
    x = 106,054,827,680.66/364,000.38
  6. Step 6: Final answer
    x = 291,359.11

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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.