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Finding the Fourth Proportional to 309,715.10, 464,258.85 and 209,885.30

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Solution

The fourth proportional to 309,715.10, 464,258.85 and 209,885.30 is: 314,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,715.10 : 464,258.85 = 209,885.30 : x
  2. Step 2: Convert to fraction form
    309,715.10/464,258.85 = 209,885.30/x
  3. Step 3: Cross multiply
    309,715.10x = 464,258.85 × 209,885.30
  4. Step 4: Simplify right side
    309,715.10x = 97,441,108,009.91
  5. Step 5: Solve for x
    x = 97,441,108,009.91/309,715.10
  6. Step 6: Final answer
    x = 314,615.30

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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.