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Finding the Fourth Proportional to 364,549.70, 502,876.40 and 213,617.54

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Solution

The fourth proportional to 364,549.70, 502,876.40 and 213,617.54 is: 294,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,549.70 : 502,876.40 = 213,617.54 : x
  2. Step 2: Convert to fraction form
    364,549.70/502,876.40 = 213,617.54/x
  3. Step 3: Cross multiply
    364,549.70x = 502,876.40 × 213,617.54
  4. Step 4: Simplify right side
    364,549.70x = 107,423,219,492.06
  5. Step 5: Solve for x
    x = 107,423,219,492.06/364,549.70
  6. Step 6: Final answer
    x = 294,673.73

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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.