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Finding the Fourth Proportional to 559,778.70, 772,494.63 and 305,129.89

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Solution

The fourth proportional to 559,778.70, 772,494.63 and 305,129.89 is: 421,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,778.70 : 772,494.63 = 305,129.89 : x
  2. Step 2: Convert to fraction form
    559,778.70/772,494.63 = 305,129.89/x
  3. Step 3: Cross multiply
    559,778.70x = 772,494.63 × 305,129.89
  4. Step 4: Simplify right side
    559,778.70x = 235,711,201,477.49
  5. Step 5: Solve for x
    x = 235,711,201,477.49/559,778.70
  6. Step 6: Final answer
    x = 421,079.26

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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.