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Finding the Fourth Proportional to 294,403.50, 441,612.54 and 107,415

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Solution

The fourth proportional to 294,403.50, 441,612.54 and 107,415 is: 161,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,403.50 : 441,612.54 = 107,415 : x
  2. Step 2: Convert to fraction form
    294,403.50/441,612.54 = 107,415/x
  3. Step 3: Cross multiply
    294,403.50x = 441,612.54 × 107,415
  4. Step 4: Simplify right side
    294,403.50x = 47,435,810,984.10
  5. Step 5: Solve for x
    x = 47,435,810,984.10/294,403.50
  6. Step 6: Final answer
    x = 161,125.16

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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.