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Finding the Fourth Proportional to 408,064.60, 612,096.90 and 282,093.40

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Solution

The fourth proportional to 408,064.60, 612,096.90 and 282,093.40 is: 423,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064.60 : 612,096.90 = 282,093.40 : x
  2. Step 2: Convert to fraction form
    408,064.60/612,096.90 = 282,093.40/x
  3. Step 3: Cross multiply
    408,064.60x = 612,096.90 × 282,093.40
  4. Step 4: Simplify right side
    408,064.60x = 172,668,495,650.46
  5. Step 5: Solve for x
    x = 172,668,495,650.46/408,064.60
  6. Step 6: Final answer
    x = 423,140.10

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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.