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Finding the Fourth Proportional to 314,929.35, 472,255.52 and 115,197.93

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Solution

The fourth proportional to 314,929.35, 472,255.52 and 115,197.93 is: 172,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929.35 : 472,255.52 = 115,197.93 : x
  2. Step 2: Convert to fraction form
    314,929.35/472,255.52 = 115,197.93/x
  3. Step 3: Cross multiply
    314,929.35x = 472,255.52 × 115,197.93
  4. Step 4: Simplify right side
    314,929.35x = 54,402,857,759.08
  5. Step 5: Solve for x
    x = 54,402,857,759.08/314,929.35
  6. Step 6: Final answer
    x = 172,746.23

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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.