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Finding the Fourth Proportional to 349,582.72, 482,461.17 and 213,696.21

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Solution

The fourth proportional to 349,582.72, 482,461.17 and 213,696.21 is: 294,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,582.72 : 482,461.17 = 213,696.21 : x
  2. Step 2: Convert to fraction form
    349,582.72/482,461.17 = 213,696.21/x
  3. Step 3: Cross multiply
    349,582.72x = 482,461.17 × 213,696.21
  4. Step 4: Simplify right side
    349,582.72x = 103,100,123,501.17
  5. Step 5: Solve for x
    x = 103,100,123,501.17/349,582.72
  6. Step 6: Final answer
    x = 294,923.40

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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.