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Finding the Fourth Proportional to 351,998.40, 526,461.60 and 314,827.20

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Solution

The fourth proportional to 351,998.40, 526,461.60 and 314,827.20 is: 470,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,998.40 : 526,461.60 = 314,827.20 : x
  2. Step 2: Convert to fraction form
    351,998.40/526,461.60 = 314,827.20/x
  3. Step 3: Cross multiply
    351,998.40x = 526,461.60 × 314,827.20
  4. Step 4: Simplify right side
    351,998.40x = 165,744,431,435.52
  5. Step 5: Solve for x
    x = 165,744,431,435.52/351,998.40
  6. Step 6: Final answer
    x = 470,867.00

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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.