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Finding the Fourth Proportional to 443,707.83, 612,365.46 and 257,480.32

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Solution

The fourth proportional to 443,707.83, 612,365.46 and 257,480.32 is: 355,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,707.83 : 612,365.46 = 257,480.32 : x
  2. Step 2: Convert to fraction form
    443,707.83/612,365.46 = 257,480.32/x
  3. Step 3: Cross multiply
    443,707.83x = 612,365.46 × 257,480.32
  4. Step 4: Simplify right side
    443,707.83x = 157,672,053,973.63
  5. Step 5: Solve for x
    x = 157,672,053,973.63/443,707.83
  6. Step 6: Final answer
    x = 355,351.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.