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Finding the Fourth Proportional to 567,353.44, 782,953.20 and 312,714.40

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Solution

The fourth proportional to 567,353.44, 782,953.20 and 312,714.40 is: 431,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,353.44 : 782,953.20 = 312,714.40 : x
  2. Step 2: Convert to fraction form
    567,353.44/782,953.20 = 312,714.40/x
  3. Step 3: Cross multiply
    567,353.44x = 782,953.20 × 312,714.40
  4. Step 4: Simplify right side
    567,353.44x = 244,840,740,166.08
  5. Step 5: Solve for x
    x = 244,840,740,166.08/567,353.44
  6. Step 6: Final answer
    x = 431,548.88

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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.