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Finding the Fourth Proportional to 368,095.48, 508,002.43 and 204,782.74

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Solution

The fourth proportional to 368,095.48, 508,002.43 and 204,782.74 is: 282,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,095.48 : 508,002.43 = 204,782.74 : x
  2. Step 2: Convert to fraction form
    368,095.48/508,002.43 = 204,782.74/x
  3. Step 3: Cross multiply
    368,095.48x = 508,002.43 × 204,782.74
  4. Step 4: Simplify right side
    368,095.48x = 104,030,129,542.06
  5. Step 5: Solve for x
    x = 104,030,129,542.06/368,095.48
  6. Step 6: Final answer
    x = 282,617.24

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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.