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Finding the Fourth Proportional to 294,219.77, 441,329.65 and 83,852.24

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Solution

The fourth proportional to 294,219.77, 441,329.65 and 83,852.24 is: 125,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219.77 : 441,329.65 = 83,852.24 : x
  2. Step 2: Convert to fraction form
    294,219.77/441,329.65 = 83,852.24/x
  3. Step 3: Cross multiply
    294,219.77x = 441,329.65 × 83,852.24
  4. Step 4: Simplify right side
    294,219.77x = 37,006,477,105.01
  5. Step 5: Solve for x
    x = 37,006,477,105.01/294,219.77
  6. Step 6: Final answer
    x = 125,778.35

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1.5x scale

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.