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Finding the Fourth Proportional to 556,597.50, 768,105.98 and 301,948.66

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Solution

The fourth proportional to 556,597.50, 768,105.98 and 301,948.66 is: 416,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,597.50 : 768,105.98 = 301,948.66 : x
  2. Step 2: Convert to fraction form
    556,597.50/768,105.98 = 301,948.66/x
  3. Step 3: Cross multiply
    556,597.50x = 768,105.98 × 301,948.66
  4. Step 4: Simplify right side
    556,597.50x = 231,928,571,398.99
  5. Step 5: Solve for x
    x = 231,928,571,398.99/556,597.50
  6. Step 6: Final answer
    x = 416,689.93

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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.