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Finding the Fourth Proportional to 368,223.75, 508,104.14 and 204,841.64

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Solution

The fourth proportional to 368,223.75, 508,104.14 and 204,841.64 is: 282,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,223.75 : 508,104.14 = 204,841.64 : x
  2. Step 2: Convert to fraction form
    368,223.75/508,104.14 = 204,841.64/x
  3. Step 3: Cross multiply
    368,223.75x = 508,104.14 × 204,841.64
  4. Step 4: Simplify right side
    368,223.75x = 104,080,881,763.66
  5. Step 5: Solve for x
    x = 104,080,881,763.66/368,223.75
  6. Step 6: Final answer
    x = 282,656.62

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1.5x scale

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.