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Finding the Fourth Proportional to 559,333.17, 771,832.71 and 314,299.26

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Solution

The fourth proportional to 559,333.17, 771,832.71 and 314,299.26 is: 433,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,333.17 : 771,832.71 = 314,299.26 : x
  2. Step 2: Convert to fraction form
    559,333.17/771,832.71 = 314,299.26/x
  3. Step 3: Cross multiply
    559,333.17x = 771,832.71 × 314,299.26
  4. Step 4: Simplify right side
    559,333.17x = 242,586,449,596.80
  5. Step 5: Solve for x
    x = 242,586,449,596.80/559,333.17
  6. Step 6: Final answer
    x = 433,706.53

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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.