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Finding the Fourth Proportional to 293,218.40, 439,827.60 and 106,205.60

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Solution

The fourth proportional to 293,218.40, 439,827.60 and 106,205.60 is: 159,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,218.40 : 439,827.60 = 106,205.60 : x
  2. Step 2: Convert to fraction form
    293,218.40/439,827.60 = 106,205.60/x
  3. Step 3: Cross multiply
    293,218.40x = 439,827.60 × 106,205.60
  4. Step 4: Simplify right side
    293,218.40x = 46,712,154,154.56
  5. Step 5: Solve for x
    x = 46,712,154,154.56/293,218.40
  6. Step 6: Final answer
    x = 159,308.40

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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.