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Finding the Fourth Proportional to 425,169.68, 586,712 and 264,021.28

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Solution

The fourth proportional to 425,169.68, 586,712 and 264,021.28 is: 364,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,169.68 : 586,712 = 264,021.28 : x
  2. Step 2: Convert to fraction form
    425,169.68/586,712 = 264,021.28/x
  3. Step 3: Cross multiply
    425,169.68x = 586,712 × 264,021.28
  4. Step 4: Simplify right side
    425,169.68x = 154,904,453,231.36
  5. Step 5: Solve for x
    x = 154,904,453,231.36/425,169.68
  6. Step 6: Final answer
    x = 364,335.61

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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.