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Finding the Fourth Proportional to 314,654.93, 472,023.55 and 115,069.31

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Solution

The fourth proportional to 314,654.93, 472,023.55 and 115,069.31 is: 172,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,654.93 : 472,023.55 = 115,069.31 : x
  2. Step 2: Convert to fraction form
    314,654.93/472,023.55 = 115,069.31/x
  3. Step 3: Cross multiply
    314,654.93x = 472,023.55 × 115,069.31
  4. Step 4: Simplify right side
    314,654.93x = 54,315,423,756.06
  5. Step 5: Solve for x
    x = 54,315,423,756.06/314,654.93
  6. Step 6: Final answer
    x = 172,619.01

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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.