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Finding the Fourth Proportional to 489,027.60, 733,541.40 and 471,312.90

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Solution

The fourth proportional to 489,027.60, 733,541.40 and 471,312.90 is: 706,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,027.60 : 733,541.40 = 471,312.90 : x
  2. Step 2: Convert to fraction form
    489,027.60/733,541.40 = 471,312.90/x
  3. Step 3: Cross multiply
    489,027.60x = 733,541.40 × 471,312.90
  4. Step 4: Simplify right side
    489,027.60x = 345,727,524,504.06
  5. Step 5: Solve for x
    x = 345,727,524,504.06/489,027.60
  6. Step 6: Final answer
    x = 706,969.35

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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.