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Finding the Fourth Proportional to 559,008.62, 771,415.03 and 310,649.72

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Solution

The fourth proportional to 559,008.62, 771,415.03 and 310,649.72 is: 428,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,008.62 : 771,415.03 = 310,649.72 : x
  2. Step 2: Convert to fraction form
    559,008.62/771,415.03 = 310,649.72/x
  3. Step 3: Cross multiply
    559,008.62x = 771,415.03 × 310,649.72
  4. Step 4: Simplify right side
    559,008.62x = 239,639,863,073.29
  5. Step 5: Solve for x
    x = 239,639,863,073.29/559,008.62
  6. Step 6: Final answer
    x = 428,687.24

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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.