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Finding the Fourth Proportional to 235,714.72, 353,572.08 and 194,074.24

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Solution

The fourth proportional to 235,714.72, 353,572.08 and 194,074.24 is: 291,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,714.72 : 353,572.08 = 194,074.24 : x
  2. Step 2: Convert to fraction form
    235,714.72/353,572.08 = 194,074.24/x
  3. Step 3: Cross multiply
    235,714.72x = 353,572.08 × 194,074.24
  4. Step 4: Simplify right side
    235,714.72x = 68,619,232,711.22
  5. Step 5: Solve for x
    x = 68,619,232,711.22/235,714.72
  6. Step 6: Final answer
    x = 291,111.36

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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.