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Finding the Fourth Proportional to 255,095.10, 382,642.65 and 225,570.60

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Solution

The fourth proportional to 255,095.10, 382,642.65 and 225,570.60 is: 338,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,095.10 : 382,642.65 = 225,570.60 : x
  2. Step 2: Convert to fraction form
    255,095.10/382,642.65 = 225,570.60/x
  3. Step 3: Cross multiply
    255,095.10x = 382,642.65 × 225,570.60
  4. Step 4: Simplify right side
    255,095.10x = 86,312,932,146.09
  5. Step 5: Solve for x
    x = 86,312,932,146.09/255,095.10
  6. Step 6: Final answer
    x = 338,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.