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Finding the Fourth Proportional to 559,996.16, 772,798.20 and 305,351.60

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Solution

The fourth proportional to 559,996.16, 772,798.20 and 305,351.60 is: 421,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,996.16 : 772,798.20 = 305,351.60 : x
  2. Step 2: Convert to fraction form
    559,996.16/772,798.20 = 305,351.60/x
  3. Step 3: Cross multiply
    559,996.16x = 772,798.20 × 305,351.60
  4. Step 4: Simplify right side
    559,996.16x = 235,975,166,847.12
  5. Step 5: Solve for x
    x = 235,975,166,847.12/559,996.16
  6. Step 6: Final answer
    x = 421,387.12

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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.