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Finding the Fourth Proportional to 314,234.10, 472,335.30 and 308,329.20

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Solution

The fourth proportional to 314,234.10, 472,335.30 and 308,329.20 is: 463,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,234.10 : 472,335.30 = 308,329.20 : x
  2. Step 2: Convert to fraction form
    314,234.10/472,335.30 = 308,329.20/x
  3. Step 3: Cross multiply
    314,234.10x = 472,335.30 × 308,329.20
  4. Step 4: Simplify right side
    314,234.10x = 145,634,765,180.76
  5. Step 5: Solve for x
    x = 145,634,765,180.76/314,234.10
  6. Step 6: Final answer
    x = 463,459.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.