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Finding the Fourth Proportional to 563,372.58, 778,199.49 and 419,883.51

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Solution

The fourth proportional to 563,372.58, 778,199.49 and 419,883.51 is: 579,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,372.58 : 778,199.49 = 419,883.51 : x
  2. Step 2: Convert to fraction form
    563,372.58/778,199.49 = 419,883.51/x
  3. Step 3: Cross multiply
    563,372.58x = 778,199.49 × 419,883.51
  4. Step 4: Simplify right side
    563,372.58x = 326,753,133,341.41
  5. Step 5: Solve for x
    x = 326,753,133,341.41/563,372.58
  6. Step 6: Final answer
    x = 579,994.74

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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.