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Finding the Fourth Proportional to 408,078.10, 612,117.15 and 282,106.90

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Solution

The fourth proportional to 408,078.10, 612,117.15 and 282,106.90 is: 423,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.10 : 612,117.15 = 282,106.90 : x
  2. Step 2: Convert to fraction form
    408,078.10/612,117.15 = 282,106.90/x
  3. Step 3: Cross multiply
    408,078.10x = 612,117.15 × 282,106.90
  4. Step 4: Simplify right side
    408,078.10x = 172,682,471,623.34
  5. Step 5: Solve for x
    x = 172,682,471,623.34/408,078.10
  6. Step 6: Final answer
    x = 423,160.35

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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.