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Finding the Fourth Proportional to 325,622.80, 488,434.20 and 286,256.80

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Solution

The fourth proportional to 325,622.80, 488,434.20 and 286,256.80 is: 429,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,622.80 : 488,434.20 = 286,256.80 : x
  2. Step 2: Convert to fraction form
    325,622.80/488,434.20 = 286,256.80/x
  3. Step 3: Cross multiply
    325,622.80x = 488,434.20 × 286,256.80
  4. Step 4: Simplify right side
    325,622.80x = 139,817,611,102.56
  5. Step 5: Solve for x
    x = 139,817,611,102.56/325,622.80
  6. Step 6: Final answer
    x = 429,385.20

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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.