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Finding the Fourth Proportional to 294,683.40, 406,711.86 and 173,854.26

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Solution

The fourth proportional to 294,683.40, 406,711.86 and 173,854.26 is: 239,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,683.40 : 406,711.86 = 173,854.26 : x
  2. Step 2: Convert to fraction form
    294,683.40/406,711.86 = 173,854.26/x
  3. Step 3: Cross multiply
    294,683.40x = 406,711.86 × 173,854.26
  4. Step 4: Simplify right side
    294,683.40x = 70,708,589,453.52
  5. Step 5: Solve for x
    x = 70,708,589,453.52/294,683.40
  6. Step 6: Final answer
    x = 239,947.65

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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.