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Finding the Fourth Proportional to 320,701.64, 481,047.40 and 110,341.40

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Solution

The fourth proportional to 320,701.64, 481,047.40 and 110,341.40 is: 165,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,701.64 : 481,047.40 = 110,341.40 : x
  2. Step 2: Convert to fraction form
    320,701.64/481,047.40 = 110,341.40/x
  3. Step 3: Cross multiply
    320,701.64x = 481,047.40 × 110,341.40
  4. Step 4: Simplify right side
    320,701.64x = 53,079,443,582.36
  5. Step 5: Solve for x
    x = 53,079,443,582.36/320,701.64
  6. Step 6: Final answer
    x = 165,510.36

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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.