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Finding the Fourth Proportional to 563,374.08, 778,201.56 and 419,885.01

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Solution

The fourth proportional to 563,374.08, 778,201.56 and 419,885.01 is: 579,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,374.08 : 778,201.56 = 419,885.01 : x
  2. Step 2: Convert to fraction form
    563,374.08/778,201.56 = 419,885.01/x
  3. Step 3: Cross multiply
    563,374.08x = 778,201.56 × 419,885.01
  4. Step 4: Simplify right side
    563,374.08x = 326,755,169,802.62
  5. Step 5: Solve for x
    x = 326,755,169,802.62/563,374.08
  6. Step 6: Final answer
    x = 579,996.81

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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.