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Finding the Fourth Proportional to 315,705, 473,744.33 and 116,165.51

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Solution

The fourth proportional to 315,705, 473,744.33 and 116,165.51 is: 174,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,705 : 473,744.33 = 116,165.51 : x
  2. Step 2: Convert to fraction form
    315,705/473,744.33 = 116,165.51/x
  3. Step 3: Cross multiply
    315,705x = 473,744.33 × 116,165.51
  4. Step 4: Simplify right side
    315,705x = 55,032,751,704.06
  5. Step 5: Solve for x
    x = 55,032,751,704.06/315,705
  6. Step 6: Final answer
    x = 174,317.01

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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.