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Finding the Fourth Proportional to 497,707.16, 746,118.66 and 194,031.32

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Solution

The fourth proportional to 497,707.16, 746,118.66 and 194,031.32 is: 290,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,707.16 : 746,118.66 = 194,031.32 : x
  2. Step 2: Convert to fraction form
    497,707.16/746,118.66 = 194,031.32/x
  3. Step 3: Cross multiply
    497,707.16x = 746,118.66 × 194,031.32
  4. Step 4: Simplify right side
    497,707.16x = 144,770,388,476.43
  5. Step 5: Solve for x
    x = 144,770,388,476.43/497,707.16
  6. Step 6: Final answer
    x = 290,874.63

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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.