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Finding the Fourth Proportional to 364,339.81, 502,708.03 and 211,403.71

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Solution

The fourth proportional to 364,339.81, 502,708.03 and 211,403.71 is: 291,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,339.81 : 502,708.03 = 211,403.71 : x
  2. Step 2: Convert to fraction form
    364,339.81/502,708.03 = 211,403.71/x
  3. Step 3: Cross multiply
    364,339.81x = 502,708.03 × 211,403.71
  4. Step 4: Simplify right side
    364,339.81x = 106,274,342,588.79
  5. Step 5: Solve for x
    x = 106,274,342,588.79/364,339.81
  6. Step 6: Final answer
    x = 291,690.17

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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.