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Finding the Fourth Proportional to 531,157.69, 732,974.56 and 301,714.26

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Solution

The fourth proportional to 531,157.69, 732,974.56 and 301,714.26 is: 416,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,157.69 : 732,974.56 = 301,714.26 : x
  2. Step 2: Convert to fraction form
    531,157.69/732,974.56 = 301,714.26/x
  3. Step 3: Cross multiply
    531,157.69x = 732,974.56 × 301,714.26
  4. Step 4: Simplify right side
    531,157.69x = 221,148,876,969.23
  5. Step 5: Solve for x
    x = 221,148,876,969.23/531,157.69
  6. Step 6: Final answer
    x = 416,352.58

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1.5x scale

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.