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Finding the Fourth Proportional to 460,408.95, 690,707.57 and 194,169.69

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Solution

The fourth proportional to 460,408.95, 690,707.57 and 194,169.69 is: 291,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,408.95 : 690,707.57 = 194,169.69 : x
  2. Step 2: Convert to fraction form
    460,408.95/690,707.57 = 194,169.69/x
  3. Step 3: Cross multiply
    460,408.95x = 690,707.57 × 194,169.69
  4. Step 4: Simplify right side
    460,408.95x = 134,114,473,776.71
  5. Step 5: Solve for x
    x = 134,114,473,776.71/460,408.95
  6. Step 6: Final answer
    x = 291,294.24

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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.