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Finding the Fourth Proportional to 508,612.10, 701,879.38 and 282,259.22

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Solution

The fourth proportional to 508,612.10, 701,879.38 and 282,259.22 is: 389,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,612.10 : 701,879.38 = 282,259.22 : x
  2. Step 2: Convert to fraction form
    508,612.10/701,879.38 = 282,259.22/x
  3. Step 3: Cross multiply
    508,612.10x = 701,879.38 × 282,259.22
  4. Step 4: Simplify right side
    508,612.10x = 198,111,922,117.84
  5. Step 5: Solve for x
    x = 198,111,922,117.84/508,612.10
  6. Step 6: Final answer
    x = 389,514.77

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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.