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Finding the Fourth Proportional to 411,362.80, 616,968.52 and 186,669.20

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Solution

The fourth proportional to 411,362.80, 616,968.52 and 186,669.20 is: 279,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,362.80 : 616,968.52 = 186,669.20 : x
  2. Step 2: Convert to fraction form
    411,362.80/616,968.52 = 186,669.20/x
  3. Step 3: Cross multiply
    411,362.80x = 616,968.52 × 186,669.20
  4. Step 4: Simplify right side
    411,362.80x = 115,169,020,053.58
  5. Step 5: Solve for x
    x = 115,169,020,053.58/411,362.80
  6. Step 6: Final answer
    x = 279,969.46

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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.