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Finding the Fourth Proportional to 460,234.40, 690,610.80 and 179,715.20

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Solution

The fourth proportional to 460,234.40, 690,610.80 and 179,715.20 is: 269,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,234.40 : 690,610.80 = 179,715.20 : x
  2. Step 2: Convert to fraction form
    460,234.40/690,610.80 = 179,715.20/x
  3. Step 3: Cross multiply
    460,234.40x = 690,610.80 × 179,715.20
  4. Step 4: Simplify right side
    460,234.40x = 124,113,258,044.16
  5. Step 5: Solve for x
    x = 124,113,258,044.16/460,234.40
  6. Step 6: Final answer
    x = 269,674.01

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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.