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Finding the Fourth Proportional to 460,514.57, 690,845.65 and 194,314.30

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Solution

The fourth proportional to 460,514.57, 690,845.65 and 194,314.30 is: 291,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,514.57 : 690,845.65 = 194,314.30 : x
  2. Step 2: Convert to fraction form
    460,514.57/690,845.65 = 194,314.30/x
  3. Step 3: Cross multiply
    460,514.57x = 690,845.65 × 194,314.30
  4. Step 4: Simplify right side
    460,514.57x = 134,241,186,674.90
  5. Step 5: Solve for x
    x = 134,241,186,674.90/460,514.57
  6. Step 6: Final answer
    x = 291,502.59

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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.