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Finding the Fourth Proportional to 552,826.20, 830,114.10 and 419,856.60

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Solution

The fourth proportional to 552,826.20, 830,114.10 and 419,856.60 is: 630,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,826.20 : 830,114.10 = 419,856.60 : x
  2. Step 2: Convert to fraction form
    552,826.20/830,114.10 = 419,856.60/x
  3. Step 3: Cross multiply
    552,826.20x = 830,114.10 × 419,856.60
  4. Step 4: Simplify right side
    552,826.20x = 348,528,883,638.06
  5. Step 5: Solve for x
    x = 348,528,883,638.06/552,826.20
  6. Step 6: Final answer
    x = 630,449.29

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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.