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Finding the Fourth Proportional to 282,384.44, 389,698.80 and 159,867.68

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Solution

The fourth proportional to 282,384.44, 389,698.80 and 159,867.68 is: 220,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384.44 : 389,698.80 = 159,867.68 : x
  2. Step 2: Convert to fraction form
    282,384.44/389,698.80 = 159,867.68/x
  3. Step 3: Cross multiply
    282,384.44x = 389,698.80 × 159,867.68
  4. Step 4: Simplify right side
    282,384.44x = 62,300,243,054.78
  5. Step 5: Solve for x
    x = 62,300,243,054.78/282,384.44
  6. Step 6: Final answer
    x = 220,622.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.