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Finding the Fourth Proportional to 384,627.36, 575,931.60 and 271,696.80

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Solution

The fourth proportional to 384,627.36, 575,931.60 and 271,696.80 is: 406,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,627.36 : 575,931.60 = 271,696.80 : x
  2. Step 2: Convert to fraction form
    384,627.36/575,931.60 = 271,696.80/x
  3. Step 3: Cross multiply
    384,627.36x = 575,931.60 × 271,696.80
  4. Step 4: Simplify right side
    384,627.36x = 156,478,772,738.88
  5. Step 5: Solve for x
    x = 156,478,772,738.88/384,627.36
  6. Step 6: Final answer
    x = 406,832.14

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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.