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Finding the Fourth Proportional to 560,216.76, 773,117.10 and 305,578.68

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Solution

The fourth proportional to 560,216.76, 773,117.10 and 305,578.68 is: 421,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,216.76 : 773,117.10 = 305,578.68 : x
  2. Step 2: Convert to fraction form
    560,216.76/773,117.10 = 305,578.68/x
  3. Step 3: Cross multiply
    560,216.76x = 773,117.10 × 305,578.68
  4. Step 4: Simplify right side
    560,216.76x = 236,248,102,903.43
  5. Step 5: Solve for x
    x = 236,248,102,903.43/560,216.76
  6. Step 6: Final answer
    x = 421,708.38

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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.