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Finding the Fourth Proportional to 397,401.60, 596,102.40 and 292,684.80

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Solution

The fourth proportional to 397,401.60, 596,102.40 and 292,684.80 is: 439,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,401.60 : 596,102.40 = 292,684.80 : x
  2. Step 2: Convert to fraction form
    397,401.60/596,102.40 = 292,684.80/x
  3. Step 3: Cross multiply
    397,401.60x = 596,102.40 × 292,684.80
  4. Step 4: Simplify right side
    397,401.60x = 174,470,111,723.52
  5. Step 5: Solve for x
    x = 174,470,111,723.52/397,401.60
  6. Step 6: Final answer
    x = 439,027.20

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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.