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Finding the Fourth Proportional to 506,446.40, 759,669.60 and 206,730.20

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Solution

The fourth proportional to 506,446.40, 759,669.60 and 206,730.20 is: 310,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,446.40 : 759,669.60 = 206,730.20 : x
  2. Step 2: Convert to fraction form
    506,446.40/759,669.60 = 206,730.20/x
  3. Step 3: Cross multiply
    506,446.40x = 759,669.60 × 206,730.20
  4. Step 4: Simplify right side
    506,446.40x = 157,046,648,341.92
  5. Step 5: Solve for x
    x = 157,046,648,341.92/506,446.40
  6. Step 6: Final answer
    x = 310,095.30

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Similar ratio
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1.5x scale

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.