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Finding the Fourth Proportional to 294,656.80, 441,985.20 and 97,664.80

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Solution

The fourth proportional to 294,656.80, 441,985.20 and 97,664.80 is: 146,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,656.80 : 441,985.20 = 97,664.80 : x
  2. Step 2: Convert to fraction form
    294,656.80/441,985.20 = 97,664.80/x
  3. Step 3: Cross multiply
    294,656.80x = 441,985.20 × 97,664.80
  4. Step 4: Simplify right side
    294,656.80x = 43,166,396,160.96
  5. Step 5: Solve for x
    x = 43,166,396,160.96/294,656.80
  6. Step 6: Final answer
    x = 146,497.20

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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.