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Finding the Fourth Proportional to 532,714.78, 735,134.30 and 290,998.42

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Solution

The fourth proportional to 532,714.78, 735,134.30 and 290,998.42 is: 401,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,714.78 : 735,134.30 = 290,998.42 : x
  2. Step 2: Convert to fraction form
    532,714.78/735,134.30 = 290,998.42/x
  3. Step 3: Cross multiply
    532,714.78x = 735,134.30 × 290,998.42
  4. Step 4: Simplify right side
    532,714.78x = 213,922,921,721.35
  5. Step 5: Solve for x
    x = 213,922,921,721.35/532,714.78
  6. Step 6: Final answer
    x = 401,571.22

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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.