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Finding the Fourth Proportional to 508,004.28, 701,053.82 and 278,582.52

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Solution

The fourth proportional to 508,004.28, 701,053.82 and 278,582.52 is: 384,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,004.28 : 701,053.82 = 278,582.52 : x
  2. Step 2: Convert to fraction form
    508,004.28/701,053.82 = 278,582.52/x
  3. Step 3: Cross multiply
    508,004.28x = 701,053.82 × 278,582.52
  4. Step 4: Simplify right side
    508,004.28x = 195,301,339,831.23
  5. Step 5: Solve for x
    x = 195,301,339,831.23/508,004.28
  6. Step 6: Final answer
    x = 384,448.22

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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.