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Finding the Fourth Proportional to 474,851.42, 655,290.64 and 257,059.02

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Solution

The fourth proportional to 474,851.42, 655,290.64 and 257,059.02 is: 354,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,851.42 : 655,290.64 = 257,059.02 : x
  2. Step 2: Convert to fraction form
    474,851.42/655,290.64 = 257,059.02/x
  3. Step 3: Cross multiply
    474,851.42x = 655,290.64 × 257,059.02
  4. Step 4: Simplify right side
    474,851.42x = 168,448,369,733.57
  5. Step 5: Solve for x
    x = 168,448,369,733.57/474,851.42
  6. Step 6: Final answer
    x = 354,739.11

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Why These Related Problems?

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