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Finding the Fourth Proportional to 563,381.83, 778,212.26 and 419,892.76

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Solution

The fourth proportional to 563,381.83, 778,212.26 and 419,892.76 is: 580,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,381.83 : 778,212.26 = 419,892.76 : x
  2. Step 2: Convert to fraction form
    563,381.83/778,212.26 = 419,892.76/x
  3. Step 3: Cross multiply
    563,381.83x = 778,212.26 × 419,892.76
  4. Step 4: Simplify right side
    563,381.83x = 326,765,693,717.24
  5. Step 5: Solve for x
    x = 326,765,693,717.24/563,381.83
  6. Step 6: Final answer
    x = 580,007.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.