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Finding the Fourth Proportional to 403,234.40, 604,851.60 and 309,922.40

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Solution

The fourth proportional to 403,234.40, 604,851.60 and 309,922.40 is: 464,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,234.40 : 604,851.60 = 309,922.40 : x
  2. Step 2: Convert to fraction form
    403,234.40/604,851.60 = 309,922.40/x
  3. Step 3: Cross multiply
    403,234.40x = 604,851.60 × 309,922.40
  4. Step 4: Simplify right side
    403,234.40x = 187,457,059,515.84
  5. Step 5: Solve for x
    x = 187,457,059,515.84/403,234.40
  6. Step 6: Final answer
    x = 464,883.60

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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.