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Finding the Fourth Proportional to 476,419.68, 657,766.80 and 295,324.20

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Solution

The fourth proportional to 476,419.68, 657,766.80 and 295,324.20 is: 407,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,419.68 : 657,766.80 = 295,324.20 : x
  2. Step 2: Convert to fraction form
    476,419.68/657,766.80 = 295,324.20/x
  3. Step 3: Cross multiply
    476,419.68x = 657,766.80 × 295,324.20
  4. Step 4: Simplify right side
    476,419.68x = 194,254,453,996.56
  5. Step 5: Solve for x
    x = 194,254,453,996.56/476,419.68
  6. Step 6: Final answer
    x = 407,738.10

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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.