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Finding the Fourth Proportional to 431,775.40, 647,663.10 and 151,256.20

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Solution

The fourth proportional to 431,775.40, 647,663.10 and 151,256.20 is: 226,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,775.40 : 647,663.10 = 151,256.20 : x
  2. Step 2: Convert to fraction form
    431,775.40/647,663.10 = 151,256.20/x
  3. Step 3: Cross multiply
    431,775.40x = 647,663.10 × 151,256.20
  4. Step 4: Simplify right side
    431,775.40x = 97,963,059,386.22
  5. Step 5: Solve for x
    x = 97,963,059,386.22/431,775.40
  6. Step 6: Final answer
    x = 226,884.30

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Why These Related Problems?

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