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Finding the Fourth Proportional to 511,937.43, 705,319.91 and 356,742.45

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Solution

The fourth proportional to 511,937.43, 705,319.91 and 356,742.45 is: 491,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,937.43 : 705,319.91 = 356,742.45 : x
  2. Step 2: Convert to fraction form
    511,937.43/705,319.91 = 356,742.45/x
  3. Step 3: Cross multiply
    511,937.43x = 705,319.91 × 356,742.45
  4. Step 4: Simplify right side
    511,937.43x = 251,617,547,416.87
  5. Step 5: Solve for x
    x = 251,617,547,416.87/511,937.43
  6. Step 6: Final answer
    x = 491,500.58

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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.