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Finding the Fourth Proportional to 366,925.30, 506,461.89 and 216,109.78

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Solution

The fourth proportional to 366,925.30, 506,461.89 and 216,109.78 is: 298,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,925.30 : 506,461.89 = 216,109.78 : x
  2. Step 2: Convert to fraction form
    366,925.30/506,461.89 = 216,109.78/x
  3. Step 3: Cross multiply
    366,925.30x = 506,461.89 × 216,109.78
  4. Step 4: Simplify right side
    366,925.30x = 109,451,367,626.28
  5. Step 5: Solve for x
    x = 109,451,367,626.28/366,925.30
  6. Step 6: Final answer
    x = 298,293.32

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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.