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Finding the Fourth Proportional to 264,686.40, 397,029.60 and 146,296.80

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Solution

The fourth proportional to 264,686.40, 397,029.60 and 146,296.80 is: 219,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,686.40 : 397,029.60 = 146,296.80 : x
  2. Step 2: Convert to fraction form
    264,686.40/397,029.60 = 146,296.80/x
  3. Step 3: Cross multiply
    264,686.40x = 397,029.60 × 146,296.80
  4. Step 4: Simplify right side
    264,686.40x = 58,084,159,985.28
  5. Step 5: Solve for x
    x = 58,084,159,985.28/264,686.40
  6. Step 6: Final answer
    x = 219,445.20

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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.