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Finding the Fourth Proportional to 294,594.40, 442,064.40 and 107,624.80

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Solution

The fourth proportional to 294,594.40, 442,064.40 and 107,624.80 is: 161,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594.40 : 442,064.40 = 107,624.80 : x
  2. Step 2: Convert to fraction form
    294,594.40/442,064.40 = 107,624.80/x
  3. Step 3: Cross multiply
    294,594.40x = 442,064.40 × 107,624.80
  4. Step 4: Simplify right side
    294,594.40x = 47,577,092,637.12
  5. Step 5: Solve for x
    x = 47,577,092,637.12/294,594.40
  6. Step 6: Final answer
    x = 161,500.33

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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.