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Finding the Fourth Proportional to 535,101.21, 738,411.45 and 305,613.38

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Solution

The fourth proportional to 535,101.21, 738,411.45 and 305,613.38 is: 421,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,101.21 : 738,411.45 = 305,613.38 : x
  2. Step 2: Convert to fraction form
    535,101.21/738,411.45 = 305,613.38/x
  3. Step 3: Cross multiply
    535,101.21x = 738,411.45 × 305,613.38
  4. Step 4: Simplify right side
    535,101.21x = 225,668,415,373.14
  5. Step 5: Solve for x
    x = 225,668,415,373.14/535,101.21
  6. Step 6: Final answer
    x = 421,730.34

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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.