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Finding the Fourth Proportional to 520,383.09, 781,254.45 and 417,855.17

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Solution

The fourth proportional to 520,383.09, 781,254.45 and 417,855.17 is: 627,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,383.09 : 781,254.45 = 417,855.17 : x
  2. Step 2: Convert to fraction form
    520,383.09/781,254.45 = 417,855.17/x
  3. Step 3: Cross multiply
    520,383.09x = 781,254.45 × 417,855.17
  4. Step 4: Simplify right side
    520,383.09x = 326,451,212,971.14
  5. Step 5: Solve for x
    x = 326,451,212,971.14/520,383.09
  6. Step 6: Final answer
    x = 627,328.63

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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.