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Finding the Fourth Proportional to 512,148.80, 768,223.20 and 260,206.40

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Solution

The fourth proportional to 512,148.80, 768,223.20 and 260,206.40 is: 390,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,148.80 : 768,223.20 = 260,206.40 : x
  2. Step 2: Convert to fraction form
    512,148.80/768,223.20 = 260,206.40/x
  3. Step 3: Cross multiply
    512,148.80x = 768,223.20 × 260,206.40
  4. Step 4: Simplify right side
    512,148.80x = 199,896,593,268.48
  5. Step 5: Solve for x
    x = 199,896,593,268.48/512,148.80
  6. Step 6: Final answer
    x = 390,309.60

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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.