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Finding the Fourth Proportional to 559,763.56, 772,473.66 and 305,116.48

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Solution

The fourth proportional to 559,763.56, 772,473.66 and 305,116.48 is: 421,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,763.56 : 772,473.66 = 305,116.48 : x
  2. Step 2: Convert to fraction form
    559,763.56/772,473.66 = 305,116.48/x
  3. Step 3: Cross multiply
    559,763.56x = 772,473.66 × 305,116.48
  4. Step 4: Simplify right side
    559,763.56x = 235,694,444,031.92
  5. Step 5: Solve for x
    x = 235,694,444,031.92/559,763.56
  6. Step 6: Final answer
    x = 421,060.71

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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.