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Finding the Fourth Proportional to 456,421.20, 683,319.60 and 403,933.20

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Solution

The fourth proportional to 456,421.20, 683,319.60 and 403,933.20 is: 604,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,421.20 : 683,319.60 = 403,933.20 : x
  2. Step 2: Convert to fraction form
    456,421.20/683,319.60 = 403,933.20/x
  3. Step 3: Cross multiply
    456,421.20x = 683,319.60 × 403,933.20
  4. Step 4: Simplify right side
    456,421.20x = 276,015,472,650.72
  5. Step 5: Solve for x
    x = 276,015,472,650.72/456,421.20
  6. Step 6: Final answer
    x = 604,738.50

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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.