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Finding the Fourth Proportional to 596,068.64, 822,879.36 and 459,796.66

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Solution

The fourth proportional to 596,068.64, 822,879.36 and 459,796.66 is: 634,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,068.64 : 822,879.36 = 459,796.66 : x
  2. Step 2: Convert to fraction form
    596,068.64/822,879.36 = 459,796.66/x
  3. Step 3: Cross multiply
    596,068.64x = 822,879.36 × 459,796.66
  4. Step 4: Simplify right side
    596,068.64x = 378,357,181,310.94
  5. Step 5: Solve for x
    x = 378,357,181,310.94/596,068.64
  6. Step 6: Final answer
    x = 634,754.38

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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.