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Finding the Fourth Proportional to 351,807, 527,710.50 and 154,815

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Solution

The fourth proportional to 351,807, 527,710.50 and 154,815 is: 232,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,807 : 527,710.50 = 154,815 : x
  2. Step 2: Convert to fraction form
    351,807/527,710.50 = 154,815/x
  3. Step 3: Cross multiply
    351,807x = 527,710.50 × 154,815
  4. Step 4: Simplify right side
    351,807x = 81,697,501,057.50
  5. Step 5: Solve for x
    x = 81,697,501,057.50/351,807
  6. Step 6: Final answer
    x = 232,222.50

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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.