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Finding the Fourth Proportional to 260,709.64, 359,779.30 and 141,477.64

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Solution

The fourth proportional to 260,709.64, 359,779.30 and 141,477.64 is: 195,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,709.64 : 359,779.30 = 141,477.64 : x
  2. Step 2: Convert to fraction form
    260,709.64/359,779.30 = 141,477.64/x
  3. Step 3: Cross multiply
    260,709.64x = 359,779.30 × 141,477.64
  4. Step 4: Simplify right side
    260,709.64x = 50,900,726,284.85
  5. Step 5: Solve for x
    x = 50,900,726,284.85/260,709.64
  6. Step 6: Final answer
    x = 195,239.14

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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.