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Finding the Fourth Proportional to 506,934.86, 699,508.24 and 403,831.64

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Solution

The fourth proportional to 506,934.86, 699,508.24 and 403,831.64 is: 557,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,934.86 : 699,508.24 = 403,831.64 : x
  2. Step 2: Convert to fraction form
    506,934.86/699,508.24 = 403,831.64/x
  3. Step 3: Cross multiply
    506,934.86x = 699,508.24 × 403,831.64
  4. Step 4: Simplify right side
    506,934.86x = 282,483,560,491.91
  5. Step 5: Solve for x
    x = 282,483,560,491.91/506,934.86
  6. Step 6: Final answer
    x = 557,238.39

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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.