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Finding the Fourth Proportional to 497,679.10, 746,518.65 and 409,032.70

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Solution

The fourth proportional to 497,679.10, 746,518.65 and 409,032.70 is: 613,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,679.10 : 746,518.65 = 409,032.70 : x
  2. Step 2: Convert to fraction form
    497,679.10/746,518.65 = 409,032.70/x
  3. Step 3: Cross multiply
    497,679.10x = 746,518.65 × 409,032.70
  4. Step 4: Simplify right side
    497,679.10x = 305,350,539,009.86
  5. Step 5: Solve for x
    x = 305,350,539,009.86/497,679.10
  6. Step 6: Final answer
    x = 613,549.05

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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.