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Finding the Fourth Proportional to 408,117.80, 612,176.70 and 257,870.90

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Solution

The fourth proportional to 408,117.80, 612,176.70 and 257,870.90 is: 386,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,117.80 : 612,176.70 = 257,870.90 : x
  2. Step 2: Convert to fraction form
    408,117.80/612,176.70 = 257,870.90/x
  3. Step 3: Cross multiply
    408,117.80x = 612,176.70 × 257,870.90
  4. Step 4: Simplify right side
    408,117.80x = 157,862,556,588.03
  5. Step 5: Solve for x
    x = 157,862,556,588.03/408,117.80
  6. Step 6: Final answer
    x = 386,806.35

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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.