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Finding the Fourth Proportional to 460,457.72, 690,780.34 and 194,219.24

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Solution

The fourth proportional to 460,457.72, 690,780.34 and 194,219.24 is: 291,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,457.72 : 690,780.34 = 194,219.24 : x
  2. Step 2: Convert to fraction form
    460,457.72/690,780.34 = 194,219.24/x
  3. Step 3: Cross multiply
    460,457.72x = 690,780.34 × 194,219.24
  4. Step 4: Simplify right side
    460,457.72x = 134,162,832,641.74
  5. Step 5: Solve for x
    x = 134,162,832,641.74/460,457.72
  6. Step 6: Final answer
    x = 291,368.41

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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.