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Finding the Fourth Proportional to 308,551.95, 462,592.08 and 213,529.23

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Solution

The fourth proportional to 308,551.95, 462,592.08 and 213,529.23 is: 320,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,551.95 : 462,592.08 = 213,529.23 : x
  2. Step 2: Convert to fraction form
    308,551.95/462,592.08 = 213,529.23/x
  3. Step 3: Cross multiply
    308,551.95x = 462,592.08 × 213,529.23
  4. Step 4: Simplify right side
    308,551.95x = 98,776,930,646.50
  5. Step 5: Solve for x
    x = 98,776,930,646.50/308,551.95
  6. Step 6: Final answer
    x = 320,130.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.