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Finding the Fourth Proportional to 307,005.30, 461,199.15 and 295,254.90

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Solution

The fourth proportional to 307,005.30, 461,199.15 and 295,254.90 is: 443,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,005.30 : 461,199.15 = 295,254.90 : x
  2. Step 2: Convert to fraction form
    307,005.30/461,199.15 = 295,254.90/x
  3. Step 3: Cross multiply
    307,005.30x = 461,199.15 × 295,254.90
  4. Step 4: Simplify right side
    307,005.30x = 136,171,308,913.34
  5. Step 5: Solve for x
    x = 136,171,308,913.34/307,005.30
  6. Step 6: Final answer
    x = 443,547.09

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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.