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Finding the Fourth Proportional to 559,344.53, 771,837.93 and 314,290.37

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Solution

The fourth proportional to 559,344.53, 771,837.93 and 314,290.37 is: 433,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,344.53 : 771,837.93 = 314,290.37 : x
  2. Step 2: Convert to fraction form
    559,344.53/771,837.93 = 314,290.37/x
  3. Step 3: Cross multiply
    559,344.53x = 771,837.93 × 314,290.37
  4. Step 4: Simplify right side
    559,344.53x = 242,581,230,529.33
  5. Step 5: Solve for x
    x = 242,581,230,529.33/559,344.53
  6. Step 6: Final answer
    x = 433,688.39

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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.