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Finding the Fourth Proportional to 342,173.20, 513,259.80 and 202,205.20

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Solution

The fourth proportional to 342,173.20, 513,259.80 and 202,205.20 is: 303,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,173.20 : 513,259.80 = 202,205.20 : x
  2. Step 2: Convert to fraction form
    342,173.20/513,259.80 = 202,205.20/x
  3. Step 3: Cross multiply
    342,173.20x = 513,259.80 × 202,205.20
  4. Step 4: Simplify right side
    342,173.20x = 103,783,800,510.96
  5. Step 5: Solve for x
    x = 103,783,800,510.96/342,173.20
  6. Step 6: Final answer
    x = 303,307.80

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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.