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Finding the Fourth Proportional to 456,431.20, 683,334.60 and 403,943.20

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Solution

The fourth proportional to 456,431.20, 683,334.60 and 403,943.20 is: 604,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,431.20 : 683,334.60 = 403,943.20 : x
  2. Step 2: Convert to fraction form
    456,431.20/683,334.60 = 403,943.20/x
  3. Step 3: Cross multiply
    456,431.20x = 683,334.60 × 403,943.20
  4. Step 4: Simplify right side
    456,431.20x = 276,028,364,994.72
  5. Step 5: Solve for x
    x = 276,028,364,994.72/456,431.20
  6. Step 6: Final answer
    x = 604,753.50

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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.