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Finding the Fourth Proportional to 364,078.40, 546,117.60 and 204,646.10

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Solution

The fourth proportional to 364,078.40, 546,117.60 and 204,646.10 is: 306,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,078.40 : 546,117.60 = 204,646.10 : x
  2. Step 2: Convert to fraction form
    364,078.40/546,117.60 = 204,646.10/x
  3. Step 3: Cross multiply
    364,078.40x = 546,117.60 × 204,646.10
  4. Step 4: Simplify right side
    364,078.40x = 111,760,836,981.36
  5. Step 5: Solve for x
    x = 111,760,836,981.36/364,078.40
  6. Step 6: Final answer
    x = 306,969.15

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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.