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Finding the Fourth Proportional to 559,349.54, 771,844.82 and 314,295.38

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Solution

The fourth proportional to 559,349.54, 771,844.82 and 314,295.38 is: 433,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,349.54 : 771,844.82 = 314,295.38 : x
  2. Step 2: Convert to fraction form
    559,349.54/771,844.82 = 314,295.38/x
  3. Step 3: Cross multiply
    559,349.54x = 771,844.82 × 314,295.38
  4. Step 4: Simplify right side
    559,349.54x = 242,587,261,002.93
  5. Step 5: Solve for x
    x = 242,587,261,002.93/559,349.54
  6. Step 6: Final answer
    x = 433,695.29

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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.