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Finding the Fourth Proportional to 433,714.80, 649,697.40 and 246,507.60

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Solution

The fourth proportional to 433,714.80, 649,697.40 and 246,507.60 is: 369,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,714.80 : 649,697.40 = 246,507.60 : x
  2. Step 2: Convert to fraction form
    433,714.80/649,697.40 = 246,507.60/x
  3. Step 3: Cross multiply
    433,714.80x = 649,697.40 × 246,507.60
  4. Step 4: Simplify right side
    433,714.80x = 160,155,346,800.24
  5. Step 5: Solve for x
    x = 160,155,346,800.24/433,714.80
  6. Step 6: Final answer
    x = 369,264.20

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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.