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Finding the Fourth Proportional to 556,234.50, 767,618.66 and 314,553.07

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Solution

The fourth proportional to 556,234.50, 767,618.66 and 314,553.07 is: 434,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,234.50 : 767,618.66 = 314,553.07 : x
  2. Step 2: Convert to fraction form
    556,234.50/767,618.66 = 314,553.07/x
  3. Step 3: Cross multiply
    556,234.50x = 767,618.66 × 314,553.07
  4. Step 4: Simplify right side
    556,234.50x = 241,456,806,092.29
  5. Step 5: Solve for x
    x = 241,456,806,092.29/556,234.50
  6. Step 6: Final answer
    x = 434,091.75

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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.