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Finding the Fourth Proportional to 415,338.15, 623,007.23 and 411,401.55

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Solution

The fourth proportional to 415,338.15, 623,007.23 and 411,401.55 is: 617,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,338.15 : 623,007.23 = 411,401.55 : x
  2. Step 2: Convert to fraction form
    415,338.15/623,007.23 = 411,401.55/x
  3. Step 3: Cross multiply
    415,338.15x = 623,007.23 × 411,401.55
  4. Step 4: Simplify right side
    415,338.15x = 256,306,138,026.20
  5. Step 5: Solve for x
    x = 256,306,138,026.20/415,338.15
  6. Step 6: Final answer
    x = 617,102.33

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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.