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Finding the Fourth Proportional to 497,796.90, 746,695.35 and 409,223.40

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Solution

The fourth proportional to 497,796.90, 746,695.35 and 409,223.40 is: 613,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,796.90 : 746,695.35 = 409,223.40 : x
  2. Step 2: Convert to fraction form
    497,796.90/746,695.35 = 409,223.40/x
  3. Step 3: Cross multiply
    497,796.90x = 746,695.35 × 409,223.40
  4. Step 4: Simplify right side
    497,796.90x = 305,565,209,891.19
  5. Step 5: Solve for x
    x = 305,565,209,891.19/497,796.90
  6. Step 6: Final answer
    x = 613,835.10

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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.