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Finding the Fourth Proportional to 284,445.60, 426,862.80 and 205,627.20

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Solution

The fourth proportional to 284,445.60, 426,862.80 and 205,627.20 is: 308,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,445.60 : 426,862.80 = 205,627.20 : x
  2. Step 2: Convert to fraction form
    284,445.60/426,862.80 = 205,627.20/x
  3. Step 3: Cross multiply
    284,445.60x = 426,862.80 × 205,627.20
  4. Step 4: Simplify right side
    284,445.60x = 87,774,602,348.16
  5. Step 5: Solve for x
    x = 87,774,602,348.16/284,445.60
  6. Step 6: Final answer
    x = 308,581.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.