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Finding the Fourth Proportional to 356,973.97, 492,587.58 and 213,730.33

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Solution

The fourth proportional to 356,973.97, 492,587.58 and 213,730.33 is: 294,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,973.97 : 492,587.58 = 213,730.33 : x
  2. Step 2: Convert to fraction form
    356,973.97/492,587.58 = 213,730.33/x
  3. Step 3: Cross multiply
    356,973.97x = 492,587.58 × 213,730.33
  4. Step 4: Simplify right side
    356,973.97x = 105,280,906,027.30
  5. Step 5: Solve for x
    x = 105,280,906,027.30/356,973.97
  6. Step 6: Final answer
    x = 294,926.00

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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.