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Finding the Fourth Proportional to 232,894.40, 349,341.60 and 64,414.40

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Solution

The fourth proportional to 232,894.40, 349,341.60 and 64,414.40 is: 96,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,894.40 : 349,341.60 = 64,414.40 : x
  2. Step 2: Convert to fraction form
    232,894.40/349,341.60 = 64,414.40/x
  3. Step 3: Cross multiply
    232,894.40x = 349,341.60 × 64,414.40
  4. Step 4: Simplify right side
    232,894.40x = 22,502,629,559.04
  5. Step 5: Solve for x
    x = 22,502,629,559.04/232,894.40
  6. Step 6: Final answer
    x = 96,621.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.