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Finding the Fourth Proportional to 421,006.08, 580,981.56 and 230,015.34

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Solution

The fourth proportional to 421,006.08, 580,981.56 and 230,015.34 is: 317,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,006.08 : 580,981.56 = 230,015.34 : x
  2. Step 2: Convert to fraction form
    421,006.08/580,981.56 = 230,015.34/x
  3. Step 3: Cross multiply
    421,006.08x = 580,981.56 × 230,015.34
  4. Step 4: Simplify right side
    421,006.08x = 133,634,671,057.13
  5. Step 5: Solve for x
    x = 133,634,671,057.13/421,006.08
  6. Step 6: Final answer
    x = 317,417.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.