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Finding the Fourth Proportional to 559,668.74, 772,123.20 and 344,435.14

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Solution

The fourth proportional to 559,668.74, 772,123.20 and 344,435.14 is: 475,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,668.74 : 772,123.20 = 344,435.14 : x
  2. Step 2: Convert to fraction form
    559,668.74/772,123.20 = 344,435.14/x
  3. Step 3: Cross multiply
    559,668.74x = 772,123.20 × 344,435.14
  4. Step 4: Simplify right side
    559,668.74x = 265,946,362,489.25
  5. Step 5: Solve for x
    x = 265,946,362,489.25/559,668.74
  6. Step 6: Final answer
    x = 475,185.31

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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.