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Finding the Fourth Proportional to 314,894.36, 472,352.88 and 78,238.28

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Solution

The fourth proportional to 314,894.36, 472,352.88 and 78,238.28 is: 117,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,894.36 : 472,352.88 = 78,238.28 : x
  2. Step 2: Convert to fraction form
    314,894.36/472,352.88 = 78,238.28/x
  3. Step 3: Cross multiply
    314,894.36x = 472,352.88 × 78,238.28
  4. Step 4: Simplify right side
    314,894.36x = 36,956,076,884.25
  5. Step 5: Solve for x
    x = 36,956,076,884.25/314,894.36
  6. Step 6: Final answer
    x = 117,360.24

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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.