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Finding the Fourth Proportional to 271,657.70, 407,875.35 and 153,559.70

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Solution

The fourth proportional to 271,657.70, 407,875.35 and 153,559.70 is: 230,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657.70 : 407,875.35 = 153,559.70 : x
  2. Step 2: Convert to fraction form
    271,657.70/407,875.35 = 153,559.70/x
  3. Step 3: Cross multiply
    271,657.70x = 407,875.35 × 153,559.70
  4. Step 4: Simplify right side
    271,657.70x = 62,633,216,383.40
  5. Step 5: Solve for x
    x = 62,633,216,383.40/271,657.70
  6. Step 6: Final answer
    x = 230,559.33

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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.