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Finding the Fourth Proportional to 504,145.68, 695,694.79 and 313,155.24

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Solution

The fourth proportional to 504,145.68, 695,694.79 and 313,155.24 is: 432,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,145.68 : 695,694.79 = 313,155.24 : x
  2. Step 2: Convert to fraction form
    504,145.68/695,694.79 = 313,155.24/x
  3. Step 3: Cross multiply
    504,145.68x = 695,694.79 × 313,155.24
  4. Step 4: Simplify right side
    504,145.68x = 217,860,468,929.20
  5. Step 5: Solve for x
    x = 217,860,468,929.20/504,145.68
  6. Step 6: Final answer
    x = 432,137.93

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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.