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Finding the Fourth Proportional to 365,823.20, 512,502.40 and 365,823.20

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Solution

The fourth proportional to 365,823.20, 512,502.40 and 365,823.20 is: 512,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,823.20 : 512,502.40 = 365,823.20 : x
  2. Step 2: Convert to fraction form
    365,823.20/512,502.40 = 365,823.20/x
  3. Step 3: Cross multiply
    365,823.20x = 512,502.40 × 365,823.20
  4. Step 4: Simplify right side
    365,823.20x = 187,485,267,975.68
  5. Step 5: Solve for x
    x = 187,485,267,975.68/365,823.20
  6. Step 6: Final answer
    x = 512,502.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.