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Finding the Fourth Proportional to 315,704.30, 473,764.04 and 116,026.40

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Solution

The fourth proportional to 315,704.30, 473,764.04 and 116,026.40 is: 174,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,704.30 : 473,764.04 = 116,026.40 : x
  2. Step 2: Convert to fraction form
    315,704.30/473,764.04 = 116,026.40/x
  3. Step 3: Cross multiply
    315,704.30x = 473,764.04 × 116,026.40
  4. Step 4: Simplify right side
    315,704.30x = 54,969,133,061.70
  5. Step 5: Solve for x
    x = 54,969,133,061.70/315,704.30
  6. Step 6: Final answer
    x = 174,115.89

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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.