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Finding the Fourth Proportional to 456,809.10, 683,269.65 and 409,764.30

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Solution

The fourth proportional to 456,809.10, 683,269.65 and 409,764.30 is: 612,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,809.10 : 683,269.65 = 409,764.30 : x
  2. Step 2: Convert to fraction form
    456,809.10/683,269.65 = 409,764.30/x
  3. Step 3: Cross multiply
    456,809.10x = 683,269.65 × 409,764.30
  4. Step 4: Simplify right side
    456,809.10x = 279,979,509,843.50
  5. Step 5: Solve for x
    x = 279,979,509,843.50/456,809.10
  6. Step 6: Final answer
    x = 612,902.65

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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.