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Finding the Fourth Proportional to 456,410.70, 683,303.85 and 403,922.70

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Solution

The fourth proportional to 456,410.70, 683,303.85 and 403,922.70 is: 604,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,410.70 : 683,303.85 = 403,922.70 : x
  2. Step 2: Convert to fraction form
    456,410.70/683,303.85 = 403,922.70/x
  3. Step 3: Cross multiply
    456,410.70x = 683,303.85 × 403,922.70
  4. Step 4: Simplify right side
    456,410.70x = 276,001,936,012.40
  5. Step 5: Solve for x
    x = 276,001,936,012.40/456,410.70
  6. Step 6: Final answer
    x = 604,722.76

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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.