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Finding the Fourth Proportional to 315,706.30, 473,767.04 and 116,028.40

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Solution

The fourth proportional to 315,706.30, 473,767.04 and 116,028.40 is: 174,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,706.30 : 473,767.04 = 116,028.40 : x
  2. Step 2: Convert to fraction form
    315,706.30/473,767.04 = 116,028.40/x
  3. Step 3: Cross multiply
    315,706.30x = 473,767.04 × 116,028.40
  4. Step 4: Simplify right side
    315,706.30x = 54,970,431,623.94
  5. Step 5: Solve for x
    x = 54,970,431,623.94/315,706.30
  6. Step 6: Final answer
    x = 174,118.89

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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.