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Finding the Fourth Proportional to 349,495.64, 482,294.23 and 211,756.13

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Solution

The fourth proportional to 349,495.64, 482,294.23 and 211,756.13 is: 292,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495.64 : 482,294.23 = 211,756.13 : x
  2. Step 2: Convert to fraction form
    349,495.64/482,294.23 = 211,756.13/x
  3. Step 3: Cross multiply
    349,495.64x = 482,294.23 × 211,756.13
  4. Step 4: Simplify right side
    349,495.64x = 102,128,758,368.55
  5. Step 5: Solve for x
    x = 102,128,758,368.55/349,495.64
  6. Step 6: Final answer
    x = 292,217.55

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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.