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Finding the Fourth Proportional to 342,000.20, 513,000.30 and 288,856.10

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Solution

The fourth proportional to 342,000.20, 513,000.30 and 288,856.10 is: 433,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.20 : 513,000.30 = 288,856.10 : x
  2. Step 2: Convert to fraction form
    342,000.20/513,000.30 = 288,856.10/x
  3. Step 3: Cross multiply
    342,000.20x = 513,000.30 × 288,856.10
  4. Step 4: Simplify right side
    342,000.20x = 148,183,265,956.83
  5. Step 5: Solve for x
    x = 148,183,265,956.83/342,000.20
  6. Step 6: Final answer
    x = 433,284.15

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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.