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Finding the Fourth Proportional to 340,894.86, 511,492.92 and 178,750.19

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Solution

The fourth proportional to 340,894.86, 511,492.92 and 178,750.19 is: 268,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,894.86 : 511,492.92 = 178,750.19 : x
  2. Step 2: Convert to fraction form
    340,894.86/511,492.92 = 178,750.19/x
  3. Step 3: Cross multiply
    340,894.86x = 511,492.92 × 178,750.19
  4. Step 4: Simplify right side
    340,894.86x = 91,429,455,994.29
  5. Step 5: Solve for x
    x = 91,429,455,994.29/340,894.86
  6. Step 6: Final answer
    x = 268,204.27

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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.