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Finding the Fourth Proportional to 312,714.68, 431,567.85 and 190,254.84

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Solution

The fourth proportional to 312,714.68, 431,567.85 and 190,254.84 is: 262,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714.68 : 431,567.85 = 190,254.84 : x
  2. Step 2: Convert to fraction form
    312,714.68/431,567.85 = 190,254.84/x
  3. Step 3: Cross multiply
    312,714.68x = 431,567.85 × 190,254.84
  4. Step 4: Simplify right side
    312,714.68x = 82,107,872,250.89
  5. Step 5: Solve for x
    x = 82,107,872,250.89/312,714.68
  6. Step 6: Final answer
    x = 262,564.82

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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.