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Finding the Fourth Proportional to 349,503.08, 482,298.36 and 213,764.36

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Solution

The fourth proportional to 349,503.08, 482,298.36 and 213,764.36 is: 294,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,503.08 : 482,298.36 = 213,764.36 : x
  2. Step 2: Convert to fraction form
    349,503.08/482,298.36 = 213,764.36/x
  3. Step 3: Cross multiply
    349,503.08x = 482,298.36 × 213,764.36
  4. Step 4: Simplify right side
    349,503.08x = 103,098,200,254.45
  5. Step 5: Solve for x
    x = 103,098,200,254.45/349,503.08
  6. Step 6: Final answer
    x = 294,985.10

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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.