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Finding the Fourth Proportional to 380,831.76, 524,941.56 and 300,129.84

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Solution

The fourth proportional to 380,831.76, 524,941.56 and 300,129.84 is: 413,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,831.76 : 524,941.56 = 300,129.84 : x
  2. Step 2: Convert to fraction form
    380,831.76/524,941.56 = 300,129.84/x
  3. Step 3: Cross multiply
    380,831.76x = 524,941.56 × 300,129.84
  4. Step 4: Simplify right side
    380,831.76x = 157,550,626,412.15
  5. Step 5: Solve for x
    x = 157,550,626,412.15/380,831.76
  6. Step 6: Final answer
    x = 413,701.38

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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.