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Finding the Fourth Proportional to 314,766.44, 472,055.95 and 115,040.18

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Solution

The fourth proportional to 314,766.44, 472,055.95 and 115,040.18 is: 172,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,766.44 : 472,055.95 = 115,040.18 : x
  2. Step 2: Convert to fraction form
    314,766.44/472,055.95 = 115,040.18/x
  3. Step 3: Cross multiply
    314,766.44x = 472,055.95 × 115,040.18
  4. Step 4: Simplify right side
    314,766.44x = 54,305,402,782.01
  5. Step 5: Solve for x
    x = 54,305,402,782.01/314,766.44
  6. Step 6: Final answer
    x = 172,526.03

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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.