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Finding the Fourth Proportional to 471,818.40, 706,345.20 and 416,522.40

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Solution

The fourth proportional to 471,818.40, 706,345.20 and 416,522.40 is: 623,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,818.40 : 706,345.20 = 416,522.40 : x
  2. Step 2: Convert to fraction form
    471,818.40/706,345.20 = 416,522.40/x
  3. Step 3: Cross multiply
    471,818.40x = 706,345.20 × 416,522.40
  4. Step 4: Simplify right side
    471,818.40x = 294,208,597,932.48
  5. Step 5: Solve for x
    x = 294,208,597,932.48/471,818.40
  6. Step 6: Final answer
    x = 623,563.21

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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.