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Finding the Fourth Proportional to 535,340.42, 738,831.50 and 320,480.42

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Solution

The fourth proportional to 535,340.42, 738,831.50 and 320,480.42 is: 442,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,340.42 : 738,831.50 = 320,480.42 : x
  2. Step 2: Convert to fraction form
    535,340.42/738,831.50 = 320,480.42/x
  3. Step 3: Cross multiply
    535,340.42x = 738,831.50 × 320,480.42
  4. Step 4: Simplify right side
    535,340.42x = 236,781,029,429.23
  5. Step 5: Solve for x
    x = 236,781,029,429.23/535,340.42
  6. Step 6: Final answer
    x = 442,299.93

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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.