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Finding the Fourth Proportional to 353,610.30, 530,415.45 and 314,903.10

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Solution

The fourth proportional to 353,610.30, 530,415.45 and 314,903.10 is: 472,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,610.30 : 530,415.45 = 314,903.10 : x
  2. Step 2: Convert to fraction form
    353,610.30/530,415.45 = 314,903.10/x
  3. Step 3: Cross multiply
    353,610.30x = 530,415.45 × 314,903.10
  4. Step 4: Simplify right side
    353,610.30x = 167,029,469,492.90
  5. Step 5: Solve for x
    x = 167,029,469,492.90/353,610.30
  6. Step 6: Final answer
    x = 472,354.65

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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.